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

Question

Quizplus · Accepted Answer

A unit vector in the direction of a given vector $\mathbf{v}$ can be found by dividing the vector 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 u=−4j\mathbf { u } = - 4 \mathbf { j }u=−4j

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