Vectors - Free Formula Sheet: bit.ly/3WYIGOv Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Next Video: ua-cam.com/video/oKqtgz2eo-Y/v-deo.html
Not a college student here, just a senior citizen doing some good exercises for the mind. Good depiction, good narration, very good product. Thank you for putting this up on UA-cam
im happy to know that people study math for the actual sake of learning, not just for grades. and i think college students suffer only because they dont know that the burn is gonna make them better!
sh*t im studying the math major just because i want to have a great logical and math skill for CS but damn is so freaking hard. "Proof that...." F*CK U
don't have that problem since I study in Finland but I feel you since I've studied for like 4 years in American curriculum schools and they fucken suck ass
Everyone should tip this guy $5. He deserves it. If you watch his videos leave similar comments and spread the word. I would be getting through engineering without his tutoring.
Just want to let you know that you and a couple other guys on UA-cam greatly helped me get through my Electrical Engineering degree (and Biomedical minor)!!! I want to seriously thank you from the bottom of my heart for making these videos and helping teach these topics better than professors who are paid 6 figure salaries. I wish you taught every course haha but man you do a lot! Thanks again for everything... It will be kind of sad to not have to watch these videos anymore but who knows, I might need them in the future! I hope the education system changes soon
@@kalebgarcia2733 Honestly, I would probably have gone CS or CE cause that's what a lot of us ended up doing anyways. Def worth the degree in terms of money, but there are other majors that make about the same if not more, with much better college experiences. I would say if you're just in it for the money (which is totally fine) then go finance/investment banking. You'll have a much happier college and probably life than forcing yourself to do this shit everyday. But if you actually like tedious problem solving and you like the challenge of tech (which isn't as glamorous as it seems haha) then yeah CS and EE/CE are worth it and you'll make solid money! Also Engineering management is a pretty good option too! Just make sure your GPA doesn't dip below 3-3.2 cause it's a lot harder to get a job right out of school! Not the end of the world cause eventually it doesn't matter but it can set you back for the first few years and makes getting a job less exciting from what I've seen:/ Good luck!!!
@@bootybanditzz First of all, just treat it like a numbers game. Just keep applying and don't take anything personally (still listen to feedback but don't get discouraged) as most of the time the whole hiring process was rigged from the beginning. A lot of the time, they already have a person to fill the role from an internship or connection but they just have to post the job for legal reasons. So that brings me to the 2 biggest points. Networking/connections and Experience in the form of Internships/Co-ops for sure!!! Use the fact that you're young to just start talking to anyone and everyone and eventually you'll meet someone who is in works as an engineer or at least knows someone at a big company. Heck for me, it happened while on a plane. The person next to me was reviewing for a presentation at a biomedical engineering conference and she was pretty high up in the company. Wasn't even sitting in a nice seat or anything just basic economy. We talked for the whole plane ride and boom that was my in. Then in terms of the experience, even if it's not the most fun sounding just try your hardest to get one. Or even a shorter program like over the winter to get certified in something. But yeah as ridiculous as it seems, employers kind of expect an entry level candidate to already have AT LEAST 1 year worth of experience! It's absurd cause like how the fuck are you supposed to get experience if nobody hires you for lack of experience but it's just the way it is. Also start early and just keep applying!!! Like I said in the beginning, it's a numbers game, it's bound to happen at some point. What's a few months or even a year in the grand scheme of things! I have former classmates that thought they would never get a job because they didn't get one early like the rest of us. Some didn't get one until literally 10 months after graduating but they finally did. Literally a few months after they got hired everything was smooth sailing and life was good. So yeah don't stress too much but definitely try to do these things. Good luck!!!
You made a confusing topic much more simpler and easier to understand. The prof at my uni just rushed through and still joked that if we don't understand, its all right to fail. like wtf lmaooo
payed thousands of dollars for a Physics class that has a teacher who speaks straight mandarin in the middle of his lecture and does'nt even look back at his student. While the Goat has this up for free and explains everything in 1/4 the time.
At this point this is still relevant, probably the most influential way to teach a student, he has some good way of teaching articulate and understand that as individuals each of students has different backgrounds, again thank you for saving my grades. My physics exams, my calculus I II III all has straight As because of you, i can't thank you more than enough for everything.
youre way better than any math teacher ive ever had thank you so much for all of your hard work you got me through cal 2 and are helping me get through cal 3
i is really i(11) which is row 1 column 1. the formula to find the sign is (-1)^(row # + column #) so i is (-1)^2 which is positive 1. For j, j(12) because it is in row 1 column 2. Apply the same formula (-1)^(1+2). (-1)^3 is -1, so you subtract. row k; K(1 3) row 1 column 3. apply the formula (-1)^(1+3). (-1)^4 =1. therefore you add. Most people just remember it goes i - j + k.
Professor Organic Chemistry Tutor, thank you for another classic video selection and awesome explanation of the Cross Product of Two Vectors in Calculus Three. Cross Product is also introduced in Engineering Physics One, Statics and Dynamics. This is an error free video/lecture on UA-cam TV with the Organic Chemistry Tutor.
Why go to school when you can just check what they teach you during the course and then just watch UA-cam videos about the topic? My math lecture is starting in 2 hours and I'm already studying the topic with the help of this video. Internet is making schools feel so obsolete.
If you want to have a positive in front of the J you could do the cross product with K in the left and I in the right side. Adding the negative just makes it easier to visualize without rewriting the I after K.
Could you please upload videos on the following topics Vector spaces - Euclidean vector space, Vector subspaces, Linear combinations, Linear dependence and independence Applications of Vectors and Matrices - Plane transformations, Least squares Statistics - Data handling, Population vs Sample, Statistical parameters Statistics - Probability distributions: Binomial, Poisson and Normal distributions, Discussion of chi squared and Student t distributions. Statistics - Confidence intervals, Hypothesis tests; Level of significance, p- value, power of test
what if the a and b vector had different component? for example, a=3i+5j-7k and b=9m-2n+7p? And how do we get negative bc at 2:25? and I also didn't understand the minus on 3:01 and 3:16.
Bro You are awesome. I missed this class in my school and my friends said it was very hard to understand. But after seeing your video everything was so easy made. Thankyou Man !!
I spent the whole night trying to learn our school slides for a test this morning. I have 30mins left to write the test and I just remembered you exist. Now... the rest is history.. Everything is just entering the head like honey & oil.
Hi, you've been helping me with Calculus and was wondering if you are also teaching Linear Algebra because that class is killing me slowly and I really like your teachings.
@@Ultimate2T22 my algebra 2 teacher never taught me this and im in highschool currently and im going to take AP calculus in 2 months but Im currently taking Pre-Calc and they mentioned vectors and cross product method so im watching this video.
There's too many positive comments here so I thought I'd share my perspective lol. I watched this video for a couple minutes, and didn't understand what was going on at all. Then I went to the first webpage in a google search for "Cross product explained" and understood it conceptually within 2 minutes. I'm glad this video helped some people though, power to them! (And great on the guy posting it!) It did not help me though.
As @That Goose comented earlier:- i is really i(11) which is row 1 column 1. the formula to find the sign is (-1)^(row # + column #) so i is (-1)^2 which is positive 1. For j, j(12) because it is in row 1 column 2. Apply the same formula (-1)^(1+2). (-1)^3 is -1, so you subtract. row k; K(1 3) row 1 column 3. apply the formula (-1)^(1+3). (-1)^4 =1. therefore you add. Most people just remember it goes i - j + k.
It is just a deduction but I want u 2 confirm it and tell me if I am right or not..... u r an Egyptian , your age = [16,18] , u r from STEM schools in either 11th or 12th grade this all could be wrong but this is just a deduction when it comes to ur question , u have to study matrices (matrix) before studying cross product so that u can understand well how is it like that
I have gained a lot of understanding from your explanations NOT just on this topic but across multiple topics or courses and its not something I take for granted. I am and I will forever be grateful for that. I have a bit of a challenge to understand where the negative is coming from on in the component i (-4 3) ( 2 -8 ) for me I am getting a 38 after cross multiplying -4*(-8) =32 and 2*3=6. hence 32+6 =38. where is the 32-6 coming from? Secondly, where is the Negative coming from j. I have seen you are adding the i and k components but on the j you are subtracting or negating?
thank you for this video!!! got a little triggered by the vectors not having arrows above them but hey! can't get everything in life. lmao. Thanks again =)
Vectors - Free Formula Sheet: bit.ly/3WYIGOv
Final Exams and Video Playlists: www.video-tutor.net/
Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
Next Video: ua-cam.com/video/oKqtgz2eo-Y/v-deo.html
Not a college student here, just a senior citizen doing some good exercises for the mind. Good depiction, good narration, very good product. Thank you for putting this up on UA-cam
im happy to know that people study math for the actual sake of learning, not just for grades. and i think college students suffer only because they dont know that the burn is gonna make them better!
@@prakharanand5760 ok
@@beachwave5705 Ok
@@prakharanand5760 Ok
@@scrappydoo69 bruh what r u doing here
Well boys, it was one hell of a journey. But, after this month I will officially never be taking a math class ever again. It was one painful ride.
Wish me luck for finals! Same here
But still, there's physics lol
@@ashmi-ratatata3944 ikr physics are killing us in this semester
sh*t im studying the math major just because i want to have a great logical and math skill for CS but damn is so freaking hard. "Proof that...." F*CK U
@@Abstractor21 hang in there bud
You deserve my school fees because you literally teach me everything.
why don;t you pay attention in class lol
Me too
don't have that problem since I study in Finland but I feel you since I've studied for like 4 years in American curriculum schools and they fucken suck ass
Yihua Pu *Ureaka moment*
So true
Not all heroes wear capes. This man has saved everyone's grades
how do you know he doesn't wear a cape hmm
@@adrycough 😂
@@adrycough 😂😂😂
Bruhhh😂😂
You literally my best UA-cam math tutor that i've ever met.Keep uploading more math videos you saving most of us.Big up!!!!!!
how you find J is negative and K is positive in first min
@@hshshhs-ue7ef Because it's written as - J
if we -5 (1--1)
= -5 *+2
=-10
Hope it clears your doubt!
Everyone should tip this guy $5. He deserves it. If you watch his videos leave similar comments and spread the word. I would be getting through engineering without his tutoring.
You also first year?
@@RSA_Shock 😂I'm also a first year engineering student
@@teenforce-dance5255 We got this bro
@@RSA_Shock 🤟🤟
@@teenforce-dance5255 will follow up at end of Semester 🤛 Stellenbosch university ftw
Just want to let you know that you and a couple other guys on UA-cam greatly helped me get through my Electrical Engineering degree (and Biomedical minor)!!! I want to seriously thank you from the bottom of my heart for making these videos and helping teach these topics better than professors who are paid 6 figure salaries. I wish you taught every course haha but man you do a lot! Thanks again for everything... It will be kind of sad to not have to watch these videos anymore but who knows, I might need them in the future! I hope the education system changes soon
I’m starting my undergrad electrical engineering journey. Was it worth it? Are you making some bread 💰?
@@kalebgarcia2733 Honestly, I would probably have gone CS or CE cause that's what a lot of us ended up doing anyways. Def worth the degree in terms of money, but there are other majors that make about the same if not more, with much better college experiences. I would say if you're just in it for the money (which is totally fine) then go finance/investment banking. You'll have a much happier college and probably life than forcing yourself to do this shit everyday. But if you actually like tedious problem solving and you like the challenge of tech (which isn't as glamorous as it seems haha) then yeah CS and EE/CE are worth it and you'll make solid money! Also Engineering management is a pretty good option too! Just make sure your GPA doesn't dip below 3-3.2 cause it's a lot harder to get a job right out of school! Not the end of the world cause eventually it doesn't matter but it can set you back for the first few years and makes getting a job less exciting from what I've seen:/ Good luck!!!
@@raymondkyruana118 thank you for run down and advice. I’ll stick with electrical 🙏
What would be the best way to land a job after getting a bachelors? That's what I'm wondering right now as I have 2 more years until I get mine.
@@bootybanditzz First of all, just treat it like a numbers game. Just keep applying and don't take anything personally (still listen to feedback but don't get discouraged) as most of the time the whole hiring process was rigged from the beginning. A lot of the time, they already have a person to fill the role from an internship or connection but they just have to post the job for legal reasons. So that brings me to the 2 biggest points. Networking/connections and Experience in the form of Internships/Co-ops for sure!!! Use the fact that you're young to just start talking to anyone and everyone and eventually you'll meet someone who is in works as an engineer or at least knows someone at a big company. Heck for me, it happened while on a plane. The person next to me was reviewing for a presentation at a biomedical engineering conference and she was pretty high up in the company. Wasn't even sitting in a nice seat or anything just basic economy. We talked for the whole plane ride and boom that was my in. Then in terms of the experience, even if it's not the most fun sounding just try your hardest to get one. Or even a shorter program like over the winter to get certified in something. But yeah as ridiculous as it seems, employers kind of expect an entry level candidate to already have AT LEAST 1 year worth of experience! It's absurd cause like how the fuck are you supposed to get experience if nobody hires you for lack of experience but it's just the way it is. Also start early and just keep applying!!! Like I said in the beginning, it's a numbers game, it's bound to happen at some point. What's a few months or even a year in the grand scheme of things! I have former classmates that thought they would never get a job because they didn't get one early like the rest of us. Some didn't get one until literally 10 months after graduating but they finally did. Literally a few months after they got hired everything was smooth sailing and life was good. So yeah don't stress too much but definitely try to do these things. Good luck!!!
Crazy how you carried my all through high school and now I’m in college still watching
Man I used you through all of my years of college, and I’m finally back to prep for the FE exam, thank you man you’ve been there the whole way
dude really just taught me my lecture in 15 minutes and it actually makes sense lmfao, I owe this man so much
Due to lock down it was really tough to get a tuition, I understood nothing from online class , this helps me a lot .Thank u very much
You made a confusing topic much more simpler and easier to understand. The prof at my uni just rushed through and still joked that if we don't understand, its all right to fail. like wtf lmaooo
payed thousands of dollars for a Physics class that has a teacher who speaks straight mandarin in the middle of his lecture and does'nt even look back at his student. While the Goat has this up for free and explains everything in 1/4 the time.
I am really grateful for this video! You have saved me when I am previewing for my linear algebra class next semester.
At this point this is still relevant, probably the most influential way to teach a student, he has some good way of teaching articulate and understand that as individuals each of students has different backgrounds, again thank you for saving my grades. My physics exams, my calculus I II III all has straight As because of you, i can't thank you more than enough for everything.
youre way better than any math teacher ive ever had thank you so much for all of your hard work you got me through cal 2 and are helping me get through cal 3
Daddy please i really like your tutorials , i wish you were in my field in civil engineering
You are my number one choice when i come to youtube
Esi Portia wtf
@@TheXxRohanxx lmfao this dude is wild
I'm in the same field Lmao
I think it's a girl, Esi sounds like a girl's name
Dude....chill.....you're disturbing me.
Anyone comming here just before exam because lost in vector product 🤧🤣
😂😂
How did you know the signs of i, j, and k?
i is really i(11) which is row 1 column 1. the formula to find the sign is (-1)^(row # + column #) so i is (-1)^2 which is positive 1. For j, j(12) because it is in row 1 column 2. Apply the same formula (-1)^(1+2). (-1)^3 is -1, so you subtract. row k; K(1 3) row 1 column 3. apply the formula (-1)^(1+3). (-1)^4 =1. therefore you add. Most people just remember it goes i - j + k.
@@thatgoose2639 Thanks! That makes sense
i was gonna ask the same. great explanation, Spider Rick
Thanks!!!
@@thatgoose2639 thanks hombre
Professor Organic Chemistry Tutor, thank you for another classic video selection and awesome explanation of the Cross Product of Two Vectors in Calculus Three. Cross Product is also introduced in Engineering Physics One, Statics and Dynamics. This is an error free video/lecture on UA-cam TV with the Organic Chemistry Tutor.
are you npc ?
@@burkicio u got serious problem dang.
Why go to school when you can just check what they teach you during the course and then just watch UA-cam videos about the topic? My math lecture is starting in 2 hours and I'm already studying the topic with the help of this video. Internet is making schools feel so obsolete.
Man u r out of this world...pls dont stop posting...! U r our only hope in maths
How did you get a negative in front of J and a positive in front of the k? Thank you for this video
Just something to memorize. The proof behind it is not really necessary to know. (Usually. Your case might be different)
@@amoghgaruda ok thank you!
It has to do with linear algebra and evaluating determinants larger than 2x2.
@@johnnyboy6338 thank you!
If you want to have a positive in front of the J you could do the cross product with K in the left and I in the right side. Adding the negative just makes it easier to visualize without rewriting the I after K.
thanks dude, i completely forgot everything from linear algebra! this is great for physics bc i don't have to find magnitudes and angles :)
loaf 🍞
this is definitely one of the videos of all time if i do say so myself
Could you please upload videos on the following topics
Vector spaces - Euclidean vector space, Vector subspaces, Linear combinations, Linear dependence and independence
Applications of Vectors and Matrices - Plane transformations, Least squares
Statistics - Data handling, Population vs Sample, Statistical parameters
Statistics - Probability distributions: Binomial, Poisson and Normal distributions, Discussion of chi squared and Student t distributions.
Statistics - Confidence intervals, Hypothesis tests; Level of significance, p- value, power of test
You are so good at explaining things simply and easily ..Thank you for your help.
Calc 3 is kicking my arseeee thank you so much for the video!!
soooooo helpful!!!
I could not get this in 1.5 hours and you taught it in under 15 minutes.........
Thank you so much! You explain far better than my physics teacher!
what if the a and b vector had different component? for example, a=3i+5j-7k and b=9m-2n+7p?
And how do we get negative bc at 2:25? and I also didn't understand the minus on 3:01 and 3:16.
By Matrice rule, it is done that way..
We need teachers like You...
how you find J is negative and K is positive in first min
@@hshshhs-ue7ef organic chem tutor has a video on that too
@@hshshhs-ue7ef "how to multiply matrices"
I just sat through an hour and a half lecture about this and i understood this in 7 minutes from this vid
Bro You are awesome. I missed this class in my school and my friends said it was very hard to understand. But after seeing your video everything was so easy made. Thankyou Man !!
u explain things in 10 mins that my lecturers cant in whole semester @goat
Will ask my university to deduct my fees and pay it to you,you always teach me every thing
I don’t care what people say, you’re very smart, thanks!!!
who tf says he's not
thanks for getting me thru college, should have gave you money instead of this stupid college
how funny that i only learn in this channel. and never in class. what a waste of time
Yeah
haha same, i dont even pay attention in class cuz i just watch his videos
I spent the whole night trying to learn our school slides for a test this morning. I have 30mins left to write the test and I just remembered you exist. Now... the rest is history.. Everything is just entering the head like honey & oil.
Hi, you've been helping me with Calculus and was wondering if you are also teaching Linear Algebra because that class is killing me slowly and I really like your teachings.
Vectors are basically mentioned in pre calculus and calculus 3-4. So he is basically telling advanced linear algebra.
@@Ultimate2T22 my algebra 2 teacher never taught me this and im in highschool currently and im going to take AP calculus in 2 months but Im currently taking Pre-Calc and they mentioned vectors and cross product method so im watching this video.
This is the most flawless video ever
Your videos are the only thing keeping me afloat. Thank you so much!
I appreciate you so much. Because of you I passed Math II
You are my lifesaver once again! Thank you
thank you for teaching the one topic and lesson i hate the most. u made this so easy to remmebr and learn
god bless him bc i would not pass my 11th half yearly without this man
Thank you for sharing your gift with everyone.
you make my studies of matricies simple what a well explained lesson
Dunno about you guys...
But UA-cam is literally my teacher.
You are a true genius, thank you for your help!
This man is single handly teaching me my 6-week summer calculus 3.
That was a very clear explanation! Thank you for making this video!
Bro I had to comment, saw this problem on one of my quizzes had no idea had to start, but thank's to you I understand now
There's too many positive comments here so I thought I'd share my perspective lol. I watched this video for a couple minutes, and didn't understand what was going on at all. Then I went to the first webpage in a google search for "Cross product explained" and understood it conceptually within 2 minutes.
I'm glad this video helped some people though, power to them! (And great on the guy posting it!) It did not help me though.
how do we determine the signs between i,j and k? pls help
true, just looking in the comments for exactly that
@@leozelenika8354for three dimensions, it's just + - +
this guy is like the ultimate professor you want in uni
My God what a class it was🔥🔥🔥.Keep it up brother
1:45 Cross Product Formula
4:10Check (5:20,7:15)
9:00
I'm so close to failing cal, and you seem to be my only ray of light
Throughout 5 years of undergrad studies in engineering, I never knew vector cross product is this simple! Eish!
Why is this so calming?
Your videos are pure gold 5*
Best edu channel ever
You are naturally gifted Man ✍️✍️✍️✍️✍️✍️ thanks for giving me such full data on vector product (cross product) and scalar product (dot product)🙏🙏🙏🙏🙏🙏
👾
Thanks you prepared me for my exam today :)
Thank you a lot u made my day it's like playing a game with its passwords
Im still confused, sorry. @1:44 does the signs are always the same in sequence as (+i) (-j) (+k)? Thanks..
@@paurush5991 ahhhhh thanks man
Question 2:20
Why is " j " negative and " k " positive?
Is there a reason or we must always do it like this?
Muhammad Hashim Bin Quraish the original equation has a negative sign on the j (i-j+k ). Look at the sign in front of the letter in the equation
there's actually a sign convention that you should follow, when you're looking for the determinant of a 3x3 matrix
As @That Goose comented earlier:-
i is really i(11) which is row 1 column 1. the formula to find the sign is (-1)^(row # + column #) so i is (-1)^2 which is positive 1. For j, j(12) because it is in row 1 column 2. Apply the same formula (-1)^(1+2). (-1)^3 is -1, so you subtract. row k; K(1 3) row 1 column 3. apply the formula (-1)^(1+3). (-1)^4 =1. therefore you add. Most people just remember it goes i - j + k.
(-)(-)(-)=negative
It is just a deduction but I want u 2 confirm it and tell me if I am right or not..... u r an Egyptian , your age = [16,18] , u r from STEM schools in either 11th or 12th grade
this all could be wrong but this is just a deduction
when it comes to ur question , u have to study matrices (matrix) before studying cross product so that u can understand well how is it like that
I've literally now understood vectors thank you 😊
Why is it -j? 1:35
Thank you so much. I am terribly grateful for this channel.
Thank you so much man, you're my hero
Thank you for million times !!!!!!!!!
Thank you for teaching me something new.
Thank you so much man. Literally a life saver.
I see you from Ethiopia 🇪🇹
I have gained a lot of understanding from your explanations NOT just on this topic but across multiple topics or courses and its not something I take for granted. I am and I will forever be grateful for that. I have a bit of a challenge to understand where the negative is coming from on in the component i (-4 3)
( 2 -8 ) for me I am getting a 38 after cross multiplying -4*(-8) =32 and 2*3=6. hence 32+6 =38. where is the 32-6 coming from? Secondly, where is the Negative coming from j. I have seen you are adding the i and k components but on the j you are subtracting or negating?
I am also confused about why we are subtracting the j
thanks organic tutor you the reason where i'm. MORE LIFE
You got me through high school now ur getting me through college
Very good! Well explained
Thanks bro. I learnt this is in 13min than being in a 2 hour lecture room😩
I love your teaching skills bro.
how you find J is negative and K is positive in first min
This man,I appreciate your effort sir🤔🇿🇲
you got me clear bro. thanks
It’s like my tr copies your videos . You’re making my Alevels a walk over
Can someone explain why in the first example, J is negative but K is not?
I have the EXACT SAME QUESTION!!!
After you make the new matrices, why is it i - j + k? Is the j always negative?
do you mean j is always negative? I'm still confused on this.
@@sbp___9865 yeah j, sorry
This is beyond teaching 😊😊
Blessed UA-camr
i like to repeat 00:32 idk why but it makes a lit beat
You should also explain that the Cross Product does not follow the commutative property.
thank you for this video!!! got a little triggered by the vectors not having arrows above them but hey! can't get everything in life. lmao. Thanks again =)
Thank you for the video I have gained more
Why is the j component becomes negative when obtaining the matrix of a and b? I was lost here😢 thank you in advance for the answer😅
Pls explain, I'm still lost
Great video,Im leaving a comment to help u out
I found it really helpful.
Also I have question
In multiplying 3×3 matrix how u know it is negetive or positive between i j k
how you find J is negative and K is positive in first min
@@hshshhs-ue7ef just a rule guys, its always negative before the j :)
Great math lesson!!! Thanks
please explain why each i or j or k is negative