Find the position vector for the vector having initial point P and terminal point Q.
-$\mathrm { P } = ( 0,0,0 )$ and $\mathrm { Q } = ( - 3,3,4 )$
A) $\mathbf { v } = - 3 \mathrm { i } + 3 \mathrm { j } + 4 \mathbf { k }$
B) $v = - 3 i + 3 j - 4 k$
C) $\mathbf { v } = 4 \mathbf { i } + 3 \mathbf { j } - 3 \mathbf { k }$
D) $\mathbf { v } = 3 \mathbf { i } - 3 \mathbf { j } - 4 \mathbf { k }$

Question

Quizplus · Accepted Answer

The position vector for a vector from point P to point Q is found by subtracting the coordinates of P from Q. Since P = (0,0,0) and Q = (-3,3,4), the position vector is $\mathbf{v} = (-3-0)\mathbf{i} + (3-0)\mathbf{j} + (4-0)\mathbf{k} = -3\mathbf{i} + 3\mathbf{j} + 4\mathbf{k}$.

Find the Position Vector for the Vector Having Initial Point P=(0,0,0)\mathrm { P } = ( 0,0,0 )P=(0,0,0)

Find the Position Vector for the Vector Having Initial Point $\mathrm { P } = ( 0,0,0 )$