Patrick helped me in my calculus 1 and 2. Then didn't take maths for a semester and now taking linear algebra and once again Patrick's videos are helping me out. He's simply the best!
KoolGNasBlackThought Really? Actually it also depends on which book Patrick is following. For my calc 1 and calc 2 I noticed that Patrick followed the same order of chapters and same example problems as my textbook. So I could just play his playlist and revise the entire course. But, for the linear algebra I have to look here and there.I would suggest that you make your own playlist and add videos according to your course outline.
PatrickJMT Bro, i have been watching you since I started algebra 1 in Highschool all the way past calculus 1,2, and 3 and even differential equations. You have basically helped me with my entire math career and thanks to your help I will be graduating with a degree in Nuclear Engineering with a complete understanding of differentials, integrals, the 3-D world, etc. Thank you so much Patrick!
At the bottom of my linear final, I will mention your name at the bottom of my paper making sure you get credit for helping me pass my semester and get a good grade :p
To be honest you are the best tutor and a teacher I have seen in 17 years of life. I am preparing for the olympiads and these videos are helping me alot. Thank you very very much.
In problem (a) was the answer suppose to be 1+2t instead of 1-2t? I'm not sure where the negative came from. Also how did we change the point (1,0,-3) into a vector?
You actual do point P minus the origin aka (1,0,-3) - (0,0,0) to get a vector. He skipped that step, so I can see why it would be confusing. I agree with you on the first part
I feel like, say (1,0,-3) be your ( Po) and your unit vector(I,j,k) be your normal vector. so you make (unit vector - Po (position vector in this case).
man i swear i've been youtubeing math questions for years and it always ends up being you that has the best and simple explanation. Seriously thanks a lot man. From ur fellow canadians up here :D
I love to use your videos the night before test to review. I always pick up on something new and it always helps me in the long run. Thank you very much for all your work.
Thank you so much for adding the multi variable videos. I can remember all thru calc 2 and Diff EQ (The past two semesters...) worrying about what I was going to do for multivariable calc 3. In fact, Thank you for all of your videos. They have been a welcome aid to my studies, and have helped me earn a B+ in calc 2. ( I work a 50 hour work week side from attending night school.)
@magicalchair no, you are correct; i do make a mention of this using annotations so i guess that is why no one else has bothered to point it out (cause i do!)
This is amazingly simple, yet somehow my math book managed to make it seem as if the goal was to divide by zero. You've made my life infinitely easier, thank you.
Cool, this actually starts smelling like fun.. And no matter I'm gonna fail the exam in few days (due to my usual laziness -.-), you are a great teacher!
the position vectors of the points A and B are (1.4.6.) and (3.5.7) .find the vector equation of the line AB and find the points where the line intersects the coordinate planes
This is great. But I'm working on a problem where the solution states the "direction numbers" that are used in the composition of the parametric equations, are just the numerators of the resulting vector between the two points, which of course, are fractions. Points in problem: (5,-3,2) and (-2/3,2/3,1).
^ ...I forgot to say this...I don't know why the numerators are the only numbers used in creating the parametric equations. Vector I got was, -17/3,11/3,-1
awesome videos all of them. im from melbourne aus. studying in melbourne uni. honestly you got me through calc1 and calc2 with hd (80%) god bless you :)
It seems to be a different parametric equation, but it's actually the same. For the one Patrick provided, if you sub t=1, you'd get (-4,3,0). For the one janmola provided, if you sub t=-1, you'd get (1,3,2). Therefore, the paramter t is just a variable that allows you to get all the points of on the vector equation with different values of t. Hope I answered your question. :)
Can you give an example of perpendicular vectors? For example, write an equation for the points (0,0,0), (a,b,c) and (m,n,p) that form a right triangle with the right angle at the origin.
In the second problem you said that the direction of the vector does not matter in this case. Does that mean that i could have subtracted the second equation from the first? Thanks.
so we assume that the vector parallel to the line going through both points is *on* the line going through both points? how can they be parallel if they're touching?
5:33 if you chose to use the other vector (-4,3,0) instead of (1,3,2) in the equation, what would change? How do you know which one to use as the a in r=a+tb?
hi patrick, third semester of cal with an B+ and an A- thx to u! funny i did better in calc 2 than in calc 1. could you please talk about symmetric equations of vector line? thank you
I have a question from my textbook. It is asking for a vector equation and the parametric equations for each scalar equation given. Eg. x+2y=6. -Ans.[2,2]+t[2,1] and x=2-2t/y=2+t.
So it doesn't matter which point you choose to be r(0) ? If you chose (-4,3,0) to be r(0) wouldn't that result in a different parametric equation -( -4-5t,3,-2t)
Patrick helped me in my calculus 1 and 2. Then didn't take maths for a semester and now taking linear algebra and once again Patrick's videos are helping me out. He's simply the best!
he helped me with calc 1 & 2 but I can't find anything useful for calc 3 :(
KoolGNasBlackThought
Really? Actually it also depends on which book Patrick is following. For my calc 1 and calc 2 I noticed that Patrick followed the same order of chapters and same example problems as my textbook. So I could just play his playlist and revise the entire course. But, for the linear algebra I have to look here and there.I would suggest that you make your own playlist and add videos according to your course outline.
No man is single-handedly carrying me through college math right now more than this man here. Bless you Patrick!
PatrickJMT Bro, i have been watching you since I started algebra 1 in Highschool all the way past calculus 1,2, and 3 and even differential equations. You have basically helped me with my entire math career and thanks to your help I will be graduating with a degree in Nuclear Engineering with a complete understanding of differentials, integrals, the 3-D world, etc. Thank you so much Patrick!
make a 6000 dollar donation to this legend
congrats. Too bad you wont use any of the stuff you learned in school in the real world
I'm surprised that every college student ever is not subscribed to you.
+Jordan Vargas IKR!!
At the bottom of my linear final, I will mention your name at the bottom of my paper making sure you get credit for helping me pass my semester and get a good grade :p
Your professor gonna be jealous and may give u a bad grade for substituting Partick for him/her, these professor's egos are krazy!
Awesome video! Had my first day of Calc 3 today and I was already lost when the teacher tried to explain this. You are the MAN Patrick!
Your comparison to y = b + x(m) made so much sense to me! Thanks a lot.
To be honest you are the best tutor and a teacher I have seen in 17 years of life. I am preparing for the olympiads and these videos are helping me alot. Thank you very very much.
In problem (a) was the answer suppose to be 1+2t instead of 1-2t? I'm not sure where the negative came from. Also how did we change the point (1,0,-3) into a vector?
You actual do point P minus the origin aka (1,0,-3) - (0,0,0) to get a vector. He skipped that step, so I can see why it would be confusing. I agree with you on the first part
I feel like, say (1,0,-3) be your ( Po) and your unit vector(I,j,k) be your normal vector. so you make (unit vector - Po (position vector in this case).
@@queenstrategy904 incorrect. He only subtracted the x component, not y and z. It was clearly an error.
glad you like it! : )
man i swear i've been youtubeing math questions for years and it always ends up being you that has the best and simple explanation. Seriously thanks a lot man. From ur fellow canadians up here :D
you are seriously the best tutor i could have ever asked for.
without you, i wouldn't have been able to survive 3 years of math.
only my 4th year.
In part (a), x=1+2t
To be sincere...am not understanding
correct i noticed it too
He accidentally changed the 2t to negative 2t when he distributed the t to given vector @@johnscorpion815
I love to use your videos the night before test to review. I always pick up on something new and it always helps me in the long run. Thank you very much for all your work.
Thank you so much for adding the multi variable videos. I can remember all thru calc 2 and Diff EQ (The past two semesters...) worrying about what I was going to do for multivariable calc 3. In fact, Thank you for all of your videos. They have been a welcome aid to my studies, and have helped me earn a B+ in calc 2. ( I work a 50 hour work week side from attending night school.)
I was looking at my book for good amount of time and couldnt figure it out, this video helped so much! Thanks man.
These videos always happen to clearly explain what I've been trying to understand for hours
This made so much sense! Thank you! (also your little comparison to y=mx+b was super helpful)
I don't know what would i do without ur videos. huge love to u
@magicalchair no, you are correct; i do make a mention of this using annotations so i guess that is why no one else has bothered to point it out (cause i do!)
Fantastic... You did exactly the same problem I had trouble with from my hw... What are the odds?
This is amazingly simple, yet somehow my math book managed to make it seem as if the goal was to divide by zero. You've made my life infinitely easier, thank you.
Even 12 years later this video still works (at least for me), tysm dude
@MrFrozenRanger glad you liked it : )
First day learning this, didn't get it, watched this video then...BWWOOOSSHH!!! Mind blown! Helped a lot! Thank you, Patrick!
you dont know how popular you are in our university well specially among students you saved many lives and calc grades i hope u know that
Didn't understand the last two weeks of class. Final's coming up; time to cram-study with your videos. Thanks for saving my grade :)
Cool, this actually starts smelling like fun.. And no matter I'm gonna fail the exam in few days (due to my usual laziness -.-), you are a great teacher!
no idea it was 10 years ago lol
thank you! i missed a few days of class due to AP testing and i had no idea how to do this. thanks again :)
I THINK YOU ARE GONNA SAVE MY LIFE ON MIDTERM TOMORROW, 5 HOURS PAST AND I THINK I GOT THE CALCULUS 2
!!!! GO PATRICK GO !!!!
I owe you a beer or 12.. you helped me through this class like no other. See ya next semester!
patrick, you are absolutely incredible. they should sell portable versions of your help videos.
wow could not believe it's that simple. What a great way to explain it all.
the position vectors of the points A and B are (1.4.6.) and (3.5.7) .find the vector equation of the line AB and find the points where the line intersects the coordinate planes
Very helpful as always. I owe you my tuition!
+Forrest Unterbrink send it on over or become a patron on the website 'Patreon!' :)
+patrickJMT heheheheheh
shut your money hungry ass up.
Thank you for showing visual and algebraic representations. You are amazing!
This is great. But I'm working on a problem where the solution states the "direction numbers" that are used in the composition of the parametric equations, are just the numerators of the resulting vector between the two points, which of course, are fractions. Points in problem: (5,-3,2) and (-2/3,2/3,1).
^ ...I forgot to say this...I don't know why the numerators are the only numbers used in creating the parametric equations. Vector I got was, -17/3,11/3,-1
You're an amazing teacher! Please just come to our high school and teach us!
nice explanation, but in the first question, should the answer for x be 1+2t instead of 1-2t :) ?
awesome videos all of them. im from melbourne aus. studying in melbourne uni. honestly you got me through calc1 and calc2 with hd (80%) god bless you :)
omg, what are you currently doing right now that you've graduated?
@theOman333 not sure. so many examples, i do not remember them all
@thezsk1 then find a pay site and pay for it. then you will not have to deal with the ads.
So part (a) is not correct.... It shouldn't be negative 2t it should be positive
*****
Coz of my sucky internet I normally download first then watch but thank you the confirmation was a bit worried about that (-) sign
***** thanks Terrify for pointing this out!
Okay awesome I'm not the only one to realize this. Is their a way to see annotations from a smart phone?
niceeeeeee
please more and thanks for the ones you've already uploaded
I fucking love you dude, you literally saved my semester
It seems to be a different parametric equation, but it's actually the same. For the one Patrick provided, if you sub t=1, you'd get (-4,3,0). For the one janmola provided, if you sub t=-1, you'd get (1,3,2). Therefore, the paramter t is just a variable that allows you to get all the points of on the vector equation with different values of t. Hope I answered your question. :)
Hey Patrick, great work, completely clear, very nice!!!!
Once again clearing up any confusion. Thanks!!
Oh god i am so glad there is someone contributed such great video
Thank you sir u are awesome :DD
Can you give an example of perpendicular vectors? For example, write an equation for the points (0,0,0), (a,b,c) and (m,n,p) that form a right triangle with the right angle at the origin.
the analogy is a legend!
i was wondering if u could do a video for the vector equations that includes the Cartesian form and what its all about?
In the second problem you said that the direction of the vector does not matter in this case. Does that mean that i could have subtracted the second equation from the first? Thanks.
oh man thanks so much! for this vector stuff. It's a life saver! good job man.
U should be a professor period.
That was a really good video, do u have a video where you explain the vector equation of a line wherere u need to find the perpindicular vector?
Is this basically the same approach to fining a line that passes through a point with a direction vector?
thanks for the help, made it easy to understand
so we assume that the vector parallel to the line going through both points is *on* the line going through both points? how can they be parallel if they're touching?
THANK YOU SO MUCH!! this was so helpful
Thankyou wow I spent so long trying to figure this out until i watched this!
5:33 if you chose to use the other vector (-4,3,0) instead of (1,3,2) in the equation, what would change? How do you know which one to use as the a in r=a+tb?
How do you calculate if line is orthogonal to eqn?
@Ratman2050 no, you're adding the -5, not subtracting it
When you distribute t, why does 2change to -2t instead of 2t?
hi patrick, third semester of cal with an B+ and an A- thx to u! funny i did better in calc 2 than in calc 1. could you please talk about symmetric equations of vector line?
thank you
DUDE YOU'RE AWESOMEEEEEEEEE!
Good. Seems to be easier this way. But what happens if you have a line that goes through 2 points AND is parallel to say 3 vectors?
lol, are you serious?
sure, anything else you need?
i just sit and stare at my computer all day ....
Well explained, thanks man
when he multiplies through by 't' why does the 2 for the x coordinate become -2?
I have exactly the same question as you. Plz tell me when you figured out.
I have a question from my textbook. It is asking for a vector equation and the parametric equations for each scalar equation given.
Eg. x+2y=6. -Ans.[2,2]+t[2,1] and x=2-2t/y=2+t.
Thank you very much, I had the same problem and now I understand 💯%. Woow, this is really amazing!!!
how would you do this if v was given in the form of its symmetric equations?
So it doesn't matter which point you choose to be r(0) ? If you chose (-4,3,0) to be r(0) wouldn't that result in a different parametric equation -( -4-5t,3,-2t)
How do you express a vector in terms of another vector?
Like vector A is a function of vector r: A(r) ?
For question 1, how would you find the cartesian equation?
nice! m is basically the vector in the vector form
how negative is come with 2 ? at 4:14
you said that negative 2t
Very Helpful. Tnx a lot Patric
Helpful tips, thanks!
clear & precise
How do you write an equation for a line that's perpendicular to a point?
Patrick, why did you leave the answer as it is, instead of (-4t,3t,0t) ? is that how it is suppose to be?
thanks! I like the "analogy" of using y=b+xm
At 4:18 when u destrubited the t it supposed to be positive 2t. Not negative
Thank you!
...ur a freak bro...a lifesaver...a godsend
this was so helpful thank you!
a very nice tutorial my frd, thank you
This was brilliant.
Amazing!!! Thank you very much! You helped me A LOT!!!!!
i also give foot rubs and mow lawns upon request
in the first example, shouldn't it be a positive 2t? why is it negative? i feel like someone would have pointed this out already, so I must be wrong.
why did you change the 2 to -2t instead of 2t in the first problem
how do I spend the last few days before calculus final? watching PatrickJMT videos haha
you're a life saver!
how did you get that parallel vector's coordinates?
@ARQ911 ringo starr