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

Question

Quizplus · Accepted Answer

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

The Vector V Has Initial Position P and Terminal Point P=(0,0);Q=(6,4)\mathrm { P } = ( 0,0 ) ; \mathrm { Q } = ( 6,4 )P=(0,0);Q=(6,4)

The Vector V Has Initial Position P and Terminal Point $\mathrm { P } = ( 0,0 ) ; \mathrm { Q } = ( 6,4 )$