A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

If I am doing the derivative of cross product of two vectors - can I first take the cross product then take the derivative - or do I have to use the cross product rule for derivatives

  • This Question is Closed
  1. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @robtobey

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

    I am pretty sure it will work both ways just one longer than the other

  3. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    we can show that the first derivative of a cross product between two vectors, say a, and b is given by the subsequent identity: \[\Large \frac{d}{{dt}}\left( {{\mathbf{a}} \times {\mathbf{b}}} \right) = \frac{{d{\mathbf{a}}}}{{dt}} \times {\mathbf{b}} + {\mathbf{a}} \times \frac{{d{\mathbf{b}}}}{{dt}}\]

  4. Jhannybean
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Known as the Product Rule

  5. Jhannybean
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Both methods should work out fine, like you said, one would just take a little longer.

  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.