The vector v has initial position P and terminal point Q. Write v in the form ai + bj; that is, find its position vector.
-P = (0, 0); Q = (6, 4)
A) v = -6i - 4j
B) v = -4i - 6j
C) v = 4i + 4j
D) v = 6i + 4j

Question

Quizplus · Accepted Answer

The position vector $ \mathbf{v} $ is found by subtracting the coordinates of the initial point from the coordinates of the terminal point, which gives $ \mathbf{v} = (6 - 0)\mathbf{i} + (4 - 0)\mathbf{j} = 6\mathbf{i} + 4\mathbf{j} $.

The Vector V Has Initial Position P and Terminal Point