A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
consider the circle r(t)= (a cos t, a sin t), for 0≤ t ≤ 2pi, where a is a positive real number, compute r' and show that it is orthogonal to r for all t.
anonymous
 4 years ago
consider the circle r(t)= (a cos t, a sin t), for 0≤ t ≤ 2pi, where a is a positive real number, compute r' and show that it is orthogonal to r for all t.

This Question is Closed

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[r(t)= (a\cos t, a\sin t)\]\[r'(t)= (a\sin t, a\cos t)\]\[r(t)\cdot r'(t)=a^2\sin t\cos t+a^2\sin t\cos t=0\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0does the third step show that its orthogonal?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[\hat{u}\cdot\hat{v}=\hat{u}\hat{v}\cos\angle{(\hat{u},\hat{v})}=0\quad\Rightarrow\quad\hat{u}\perp\hat{v}\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0yea thats what i was thinking since it has to be right triangle to be orhoganol
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.