Let $\mathbf { w }$ Be a Vector with Initial Point $( 2,1 )$

Multiple Choice

Let $\mathbf { w }$ be a vector with initial point $( 2,1 )$ and terminal point $( 9 , - 3 )$ . Write $\mathbf { w }$ as a linear combination of the standard unit vectors $\mathbf { i }$ and $\mathbf { j }$ .

A) $\mathbf { w } = \mathbf { i } + 12 \mathbf { j }$
B) $\mathbf { w } = - 5 \mathbf { i } + 8 \mathbf { j }$
C) $\mathbf { w } = 7 \mathbf { i } - 4 \mathbf { j }$
D) $\mathbf { w } = 11 \mathbf { i } + 4 \mathbf { j }$
E) $\mathbf { w } = 3 \mathbf { i } - 12 \mathbf { j }$