Find the position vector for the vector having initial point P and terminal point Q.
-$$\mathrm { P } = ( 4,2,2 ) \text { and } \mathrm { Q } = ( - 4 , - 1 , - 2 )$$
A) $v = - 6 i - 3 j - 6 k$
B) $v = - 8 i - 3 j - 4 k$
C) $v = - 6 \mathbf { i } - 3 \mathbf { j } - 2 \mathbf { k }$
D) $v = 8 i + 3 j + 4 k$

Question

Quizplus · Accepted Answer

The position vector from P to Q is found by subtracting the coordinates of P from Q: $(-4 - 4)i + (-1 - 2)j + (-2 - 2)k = -8i - 3j - 4k$.

Find the Position Vector for the Vector Having Initial Point P=(4,2,2) and Q=(−4,−1,−2)\mathrm { P } = ( 4,2,2 ) \text { and } \mathrm { Q } = ( - 4 , - 1 , - 2 )P=(4,2,2) and Q=(−4,−1,−2)

Find the Position Vector for the Vector Having Initial Point $\mathrm { P } = ( 4,2,2 ) \text { and } \mathrm { Q } = ( - 4 , - 1 , - 2 )$