1. Questions

Dot Product

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.

  1. 👍
  2. 👎
  3. 👁
Putnam

  1. 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...

    1. 👍
    2. 👎
    billy

  2. Awesome! Thanks, billy!

    1. 👍
    2. 👎
    Sick Sick

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calculus and vectors

    Vector AB is a vector whose tail is at (-4,2) and whose head is at (-1,3). Calculate the magnitude of vector AB Determine the coordinates of point D on vector CD, if C (-6,0) and vector CD= vector AB. Please I need some help. Is

  2. Physics

    You are given vectors A = 5.0i - 6.5j & B = -3.5i + 7.0j. A third vector C lies on the xy-plane. Vector C is perpendicular to vector A, & the scalar product of C with B is 15.0. From this information, find the components of vector

  3. Maths

    The force determined by the vector r=(1,-8,-7) is resolved along three mutually perpendicular directions, one of which is in the direction of the vector a=2i+2j+k. Then the vector component of the force r along vector a is

  4. Calculus

    Find the position vector of a particle whose acceleration vector is a = (1, 2) with an initial velocity vector (0, 0) and initial position vector (1, 0). (10 points) Please give explanation and show work. Thank you so much!

  1. Calculus

    Find the velocity vector for a particle whose position vector is vector components 2t, 5 for all t. (10 points) A) vector components 2, 0 B) vector components t squared, 5 times t C) vector components t cubed over 3, 5 times t

  2. mechanics and heat

    if the cross product of vector A and vector B is 8i-14j+k and the difference of vector A and vector B is 5i+3j+2k,then find the value of vector A and vector B.

  3. physics

    i don't see this in my book in a coordinate system, a vector is oriented at angle theta with respect to the x-axis. The y component of the vector equals the vector equals the vector's magnitude multiplied by which trigonometric

  4. Physics

    A stone is shown at rest on the ground. A. The vector shows the weight of the stone. Complete the vector diagram showing another vector that results in zero net force on the stone. B. What is the conventional name of the vector

  1. Math: Vectors

    Find any vector w that is perpendicular to both vector "u = 3j + 4k" and vector "v = 2i". Note: i, j and k are unit vectors How would you solve this problem? Please walk me through?

  2. physics

    Vector vector A has a magnitude of 27 units and points in the positive y-direction. When vector vector B is added to vector A , the resultant vector vector A + vector B points in the negative y-direction with a magnitude of 18

  3. math

    What is the length of the vector [5 cos è, 5 sinè]? If the vector [5,0] is rotated 36 degrees in the counter clockwise direction, what are the components of the resulting vector?

  4. Physics

    4. Which of the following is an accurate statement about vectors? A. Rotating a vector about an axis passing through the tip of the vector does not change the vector(definitely not right) B. The magnitude of a vector can be zero

You can view more similar questions or ask a new question.