Krista, you were a really big reason as to why I got a good grade in Calculus 2, now taking Multivariable Calc, I have a feeling you're gonna help me a lot again. Thank you for what you do!
Perfect timing! Im actually learning things about parametric lines, plans, and all things like that, and you are posting them so nice! A thank from France ;) I also shared your channel to my class haha!
Thank you so much! If I can understand how to do the problem I can understand the subject but understanding how to do it is the hardest part. THANK YOU!
If are asked to parameterise the line segment joining points (0,1/2,1) and (2,1,-3). Then restriction values of parameter t will be diff if we pick the other point .
Correct me if I am wrong, as far I know, X - 2 is not an equation, it's an expression. I also did not get why we are counting it in symmetric equation. Would be grateful if you could help me to get a better insight.
This was so helpful, thank you so very much! Your explanations were hella thorough and I find myself understanding the processes more clearly. One question, though! Our teacher introduced the vector equation form to look like r = (xo, yo) + td. The form you have includes the i, j, and k details of a vector; are both of these forms correct for the vector eq?
Hi Krista, please correct me if I am wrong but, I thought when finding the equation of a line R = Ro + Vt Where: V is a vector perpendicular to the plane? Thus having to take the cross product Thanks
Oh but that doesn't mean your explaining wasn't great. :D I love the style of the chalk and the blackboard and your clear voice and accent. I can pass my test in peace now, thank you!
are you sure about the second set of symmetric equations, i believe you're dividing by the x_0 component instead of a. Since the directional vector v = doesn't change (still the same line), but the point from which you're looking IS different namely r_0 = . Or am I mistaken? Bit confusing the last bit, can someone look into that part for me please? Thank you, kind regards and a happy 2017 everyone
All you are doing when getting your symmetric equations is isolating the parameter; since the parameter is equal to any of the individual component expressions, they must all equal each other. Don't know why you took your roundabout way of explaining.
Krista, you were a really big reason as to why I got a good grade in Calculus 2, now taking Multivariable Calc, I have a feeling you're gonna help me a lot again. Thank you for what you do!
You're welcome! I'm so honored to be able to help!
At 4:18 - 4:19 "we're going to pull out a J"
Is that in anticipation for 4:20?
nice one
Solid xD
Perfect timing! Im actually learning things about parametric lines, plans, and all things like that, and you are posting them so nice!
A thank from France ;) I also shared your channel to my class haha!
Thank you so much for sharing! :D
A
almost 8 years later and this video clarified my doubt tysm
Whenever I need a someone to go the extra mile in explaining 'why' I come to your channel.
Awww, thanks Alexander! :D
This video is wildly helpful. Thank you very much.
lol, I needed help on symmetric equations and this is the exact homework problem I was stuck on
So glad it helped, Edmund! :D
Thank you so much! If I can understand how to do the problem I can understand the subject but understanding how to do it is the hardest part. THANK YOU!
:D
Finna pass my exam thanks to this channel
i really appreciate what you do. thank you. thank you from deep within my heart
+Noah Etan you're welcome!
Thank you for this amazing Explain 💚
Wonderful video! Thank you for giving such a clear explanation!
If are asked to parameterise the line segment joining points (0,1/2,1) and (2,1,-3). Then restriction values of parameter t will be diff if we pick the other point .
We pick terminal point
Awesome lesson
You just made my day. I finally understand it!
I'm so glad it made sense! :D
Thanks a lot. Saved my life
You're welcome, Peter! I'm so glad it helped! :)
at 2:26 why we chose point use the r(0) point , can we use in the r(0) points , let me so confuse, please explain thanks
Correct me if I am wrong, as far I know, X - 2 is not an equation, it's an expression. I also did not get why we are counting it in symmetric equation. Would be grateful if you could help me to get a better insight.
2:23 Why doesn't it matter which of the two points you pick? You seem to reach two different sets of parametric equations...
exactly
This was so helpful, thank you so very much! Your explanations were hella thorough and I find myself understanding the processes more clearly. One question, though! Our teacher introduced the vector equation form to look like r = (xo, yo) + td. The form you have includes the i, j, and k details of a vector; are both of these forms correct for the vector eq?
Yes, they're both correct, just in different forms. :)
Krista King Okay, thank you so much!
That's hella lit fam
You’re the bomb girl. Thanks for all of these great videos.
Glad you like them! :)
Hi Krista, please correct me if I am wrong but,
I thought when finding the equation of a line R = Ro + Vt
Where: V is a vector perpendicular to the plane?
Thus having to take the cross product
Thanks
v isnt a vector perpendicular to the plane, its a vector that is parallel to the line we are trying to find
Oh but that doesn't mean your explaining wasn't great. :D
I love the style of the chalk and the blackboard and your clear voice and accent. I can pass my test in peace now, thank you!
thank you for explaining symmetric equations! Calc 3 teacher did not mention them and they are on my homework :(
Why do You separate x-2 from the other two with a comma, it looks messy.
What do we do if the associated direction number is 0? I have y = 1 and I'm not sure what to do...
Nvm! You're supposed to set the other two equal to eachother and write what the one with 0t equals.
Superb .... thank you 😘
Please what software did u use. I like the background color n the whitechalk
Hey, Christian! It's called Sketchbook. :)
@@kristakingmath thank u so much
Love it！thank you sososo muchhhh
You're welcome, Valerie, I'm so glad you liked it! :D
U deserve million of sub!...
are you sure about the second set of symmetric equations, i believe you're dividing by the x_0 component instead of a.
Since the directional vector v = doesn't change (still the same line), but the point from which you're looking IS different namely r_0 = . Or am I mistaken? Bit confusing the last bit, can someone look into that part for me please? Thank you, kind regards and a happy 2017 everyone
Great explanation
Thanks! :)
Thank you so much for this
You're so welcome! 🩷
your hand writing on pc is better than my hand writing on a page !!!
Thank you very much.
Understood everything 👍!
Awesome, Yash! I'm so glad! :)
YOU THE BEST!!!! woop woop
:D
Thank you!
You're welcome, Wavy! :)
To find the SE you can simply solve the PE for t.
Is it fine if we take the first point (0, 1/2,1) instead of the sec point and compare it with the vector?
But If gave us vector only , what we gonna do ?
How is x-2 an equation???
That's what I want!
Thank you! You are a life saver
You're welcome! :D
thankyou!
You're welcome, Siddharth!
Thank You so much
u saved me from getting F in CAL
You're welcome, I'm glad I could help!
thnk u..ur voice is so sweet btw.....
"of the line the line"?
are you a teacher?
Just easy
All you are doing when getting your symmetric equations is isolating the parameter; since the parameter is equal to any of the individual component expressions, they must all equal each other. Don't know why you took your roundabout way of explaining.
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