Find the Unit Vector in the Direction of v
-$$\mathbf { v } = - 5 \mathbf { i } - 12 \mathbf { j }$$
A) $\mathbf { u } = - \frac { 5 } { 13 } \mathbf { i } - \frac { 12 } { 13 } \mathrm { j }$
B) $u = - 65 i - 156 j$
C) $\mathbf { u } = \frac { 12 } { 13 } \mathbf { i } + \frac { 5 } { 13 } \mathbf { j }$
D) $\mathbf { u } = - \frac { 13 } { 5 } \mathbf { i } - \frac { 13 } { 12 } \mathbf { j }$

Question

Quizplus · Accepted Answer

The unit vector in the direction of $\mathbf{v} = -5\mathbf{i} - 12\mathbf{j}$ is found by dividing each component of $\mathbf{v}$ by its magnitude. The magnitude of $\mathbf{v}$ is $\sqrt{(-5)^2 + (-12)^2} = 13$. Thus, the unit vector is $\mathbf{u} = \frac{-5}{13}\mathbf{i} + \frac{-12}{13}\mathbf{j}$.

Find the Unit Vector in the Direction of V - v=−5i−12j\mathbf { v } = - 5 \mathbf { i } - 12 \mathbf { j }v=−5i−12j

Find the Unit Vector in the Direction of V
- $\mathbf { v } = - 5 \mathbf { i } - 12 \mathbf { j }$