Dot Product

posted by .

Verify using an example that Vector a • (Vector b • Vector c) = (Vector a • Vector b) • Vector c is not true. Explain your reasoning both numerically and by using the definition of the dot product. I am very confused as to what this means?! Thanks for the assistance.

  • Dot Product -

    It wants you to substitute values (can be anything as far as I know) for each vector into that equation, then explain based on what you know of the definition of a dot product its properties.

    For example:

    <2,3> dot (<1,4> dot <3,3> = (<2,3> dot <1,4>) dot <3,3>

    Work that out, and the two sides should be different answers. Then explain why that is...I'm guessing due to that multiplication property or something along those lines...

  • Dot Product -

    Awesome! Thanks, billy!

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    Use the definition of scalar product( vector A* vector B = abcos theda and the fact that vector A * vector B = axbx+ ayby+azbz to calculate the angle between the two vectorgiven by vector A= 3i + 3j + 3k and vector B= 2i + 1j + 3k. …
  2. Calc: PLEASE HELP!

    How can this be proven! I have tried so many ways! PLEASE help! Verify using an example that Vector a + (Vector b • Vector c) = (Vector a • Vector b) + Vector c?
  3. jane

    1. a centripetal-acceleration addict rides in uniform circular motion with period T=2s and radius r=3m. at t1 his acceleration vector= 6(m/s^2)i + -4(m/s^2)j. At that instant, what are the values of vector b (dot) vector a and vector …
  4. Calculus - Dot Product

    consider a rhombus ABCD a) find the resultant of vector AB + vector AD and vector AB - vector AD?
  5. Mathematics - Dot Product

    Consider rhombus ABCD a) Find the resultants of vector AB + vector AD and vector AB - vector AD b) What will the value of (vector AB + vector AD) dot product (vector AB - vector AD) always be?
  6. Vectors

    Explain why it is not possible for Vector a • (Vector b • Vector c) to equal (Vector a • Vector b) • Vector c . (This means that the dot product is not associative.)
  7. Vectors

    Verify using an example that Vector a + (Vector b • Vector c) is not equal to (Vector a + Vector b) • (Vector a +Vector c). (This means that addition does not distribute over the dot product.) Explain the problem that arises.
  8. Vectors

    Verify using a specific example that (Vector a + Vector b) × (Vector a – Vector b) = 2(Vector b×Vector a). Expand to the general case to prove that the result is always true.
  9. calculus

    State whether or not the following statements are true. Justify your reasoning.?
  10. Vectors

    Verify using an example that Vector a + (Vector b • Vector c) is not equal to (Vector a + Vector b) • (Vector a +Vector c). Explain the problem that arises

More Similar Questions