Find the unit vector having the same direction as v.
-$$\mathbf { v } = - 4 \mathrm { j }$$
A) $u = - 4 j$
B) $\mathbf { u } = 16 \mathrm { j }$
C) $\mathrm { u } = - \frac { 1 } { 4 } \mathrm { j }$
D) $\mathbf { u } = - \mathbf { j }$

Question

Quizplus · Accepted Answer

A unit vector in the same direction as $\mathbf{v}$ is obtained by dividing $\mathbf{v}$ by its magnitude. The magnitude of $\mathbf{v} = -4\mathbf{j}$ is $|\mathbf{v}| = 4$. Thus, the unit vector is $\mathbf{u} = \frac{\mathbf{v}}{|\mathbf{v}|} = \frac{-4\mathbf{j}}{4} = -\mathbf{j}$.

Find the Unit Vector Having the Same Direction as V v=−4j\mathbf { v } = - 4 \mathrm { j }v=−4j

Find the Unit Vector Having the Same Direction as V $\mathbf { v } = - 4 \mathrm { j }$