Find the vector v whose initial and terminal points are given below. $( 5.5,2.1 ) , ( 9.5,6.1 )$
A) $\mathbf { v } = 4 \mathbf { i } + 2 \mathbf { j }$
B) $\mathbf { v } = 4 \mathbf { i } + 8 \mathbf { j }$
C) $\mathbf { v } = - 4 \mathbf { i } - 3 \mathbf { j }$
D) $\mathbf { v } = 4 \mathbf { i } + 4 \mathbf { j }$
E) $\mathbf { v } = - 4 \mathbf { i } + 6.1 \mathbf { j }$

Question

Quizplus · Accepted Answer

To find the vector, we subtract the initial point from the terminal point. Therefore, 
\begin{align*}
\mathbf{v} &= \begin{pmatrix}9.5\6.1\end{pmatrix}-\begin{pmatrix}5.5\2.1\end{pmatrix}\
&=\begin{pmatrix}4\4\end{pmatrix}\
&=4\mathbf{i}+4\mathbf{j}
\end{align*}
Therefore, the best choice is D.

Find the Vector V Whose Initial and Terminal Points Are (5.5,2.1),(9.5,6.1)( 5.5,2.1 ) , ( 9.5,6.1 )(5.5,2.1),(9.5,6.1)

Find the Vector V Whose Initial and Terminal Points Are $( 5.5,2.1 ) , ( 9.5,6.1 )$