Vector u has its initial point at (15, 22) and its terminal point at (5, -4). vector v points in a direction opposite that of u, and its magnitude is twice the magnitude of u. what is the component form of v?
a. v=< -20, 36>
b. v=< -20, 56>
c. v=< 20, 36>
d. v=< 20, 52>

  D.  v=<20, 52>

Step-by-step explanation:

Vector u can be written in component form by subtracting its initial point from its terminal point:

  u = (5, -4) -(15, 22) = <-10, -26>

We are told that v = -2u, so ...

  v = -2<-10, -26> = <20, 52>

Multiplying a vector by -1 reverses its direction; multiplying it by some factor k changes its magnitude by a factor of k. To reverse the direction and double the magnitude, we can multiply u by -2.

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step-by-step explanation: