A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

M

  • 5 years ago

why is direction of gradient vector steepest?

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

    ....erm..can you make your question a bit clearer?

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

    steepest derivative, it says walk in the direction of gradient vector

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

    whats the equation given

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

    just the general directional vector |U||del(f)}cos(theta)

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

    Duf

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

    gradient represents the steepest rate of increase of some function for each of the points where the function is defined, but each gradient vector is also perpendicular to the level tangent directions at a point. Note that these gradient vectors are not "normal" to the surface of the hill - as in pointing up into the sky. They are normal to level directions.

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

    The dell is always unitized, that means it is always positive, it is related to the slope, derivative, positve slope.

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

    why is gradient vector the steepest ascent?

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

    It has a relation to the cos function which is merely between 1 and -1. It always end on the +1 side.

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

    and max is when cos = 1?

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

    Yeah, in fact the magnitude of unit vector is equal to 1 so it always win out.

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

    thanks

  13. 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.