Question

Select the correct answerVector 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 twicethe magnitude of u. What is the component form of v?OA V=(-20, 36)OB. V=(-20, 52)Ocv = (20, 36)ODV= (20, 52)

Answer 1

Option C is correct.

v = (20, 36)

Step-by-step explanation

If the initial and terminal points of a vector are given, the vector itself is obtained, per coordinate, by doing a terminal point coordinate minus initial point coordinate.

u = [(5 - 15), (4 - 22)]

u = (-10, -18)

Then, we are told that vector v points in the opposite direction as that of vector u and its magnitude is twice that of vector u too.

In mathematical terms,

v = -2u

v = -2 (-10, -18)

v = (20, 36)

Hope this Helps!!!