Interesting right at 9:50 it hit me that that magnitude is what we integrate for calc. I/II arc length. So that formula is just a special case of this general vector function arc length formula if our function f is reparameterized in terms of a vector function. Cool!
This video make so much sense and meaning I can understand a lot from it
which video are you referring to in 0:56?
Interesting right at 9:50 it hit me that that magnitude is what we integrate for calc. I/II arc length. So that formula is just a special case of this general vector function arc length formula if our function f is reparameterized in terms of a vector function. Cool!
At 3:02 shouldnt it be |T||T'| = |TxT'|/sinθ ?
I feel you're right
Yes, it should. I really hate making a mistake that still gets you to the right answer
Yes, it should be dividing by sin(theta). But since sin(theta) = 1, the error doesn't infect the future calculations.