A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 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.

  • This Question is Closed
  1. nikvist
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[r(t)= (a\cos t, a\sin t)\]\[r'(t)= (-a\sin t, a\cos t)\]\[r(t)\cdot r'(t)=-a^2\sin t\cos t+a^2\sin t\cos t=0\]

  2. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    does the third step show that its orthogonal?

  3. nikvist
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\hat{u}\cdot\hat{v}=|\hat{u}||\hat{v}|\cos\angle{(\hat{u},\hat{v})}=0\quad\Rightarrow\quad\hat{u}\perp\hat{v}\]

  4. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yea thats what i was thinking since it has to be right triangle to be orhoganol

  5. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thanks

  6. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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
  • 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.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.