Find the component form of the vector u with the given initial and terminal points. Initial point: (5, 7, 8 )
Terminal point: (-2 , 10 , 10 )
A) $\mathbf { u } = 7 \mathbf { i } - 3 \mathbf { j } - 2 \mathbf { k }$
B) $\mathbf { u } = 3 \mathbf { i } + 17 \mathbf { j } + 18 \mathbf { k }$
C) $\mathbf { u } = - 7 \mathbf { i } + 3 \mathbf { j } - 2 \mathbf { k }$
D) $\mathbf { u } = - 7 \mathbf { i } + 3 \mathbf { j } + 2 \mathbf { k }$
E) $\mathbf { u } = 7 \mathbf { i } + 3 \mathbf { j } + 2 \mathbf { k }$

Question

Find the component form of the vector u with the given initial and terminal points. Initial point: (5, 7, 8 )
Terminal point: (-2 , 10 , 10 ) 
A) $\mathbf { u } = 7 \mathbf { i } - 3 \mathbf { j } - 2 \mathbf { k }$
B) $\mathbf { u } = 3 \mathbf { i } + 17 \mathbf { j } + 18 \mathbf { k }$
C) $\mathbf { u } = - 7 \mathbf { i } + 3 \mathbf { j } - 2 \mathbf { k }$
D) $\mathbf { u } = - 7 \mathbf { i } + 3 \mathbf { j } + 2 \mathbf { k }$
E) $\mathbf { u } = 7 \mathbf { i } + 3 \mathbf { j } + 2 \mathbf { k }$

Quizplus · Accepted Answer

To find the vector u, we need to subtract the initial point from the terminal point. 
$\begin{pmatrix}-2\10\10\end{pmatrix}-\begin{pmatrix}5\7\8\end{pmatrix}=\begin{pmatrix}-7\3\2\end{pmatrix}$
Therefore, the component form of vector u is $\mathbf{u}=-7\mathbf{i}+3\mathbf{j}+2\mathbf{k}$.

Find the Component Form of the Vector U with the Given