### Home > PC3 > Chapter 8 > Lesson 8.3.5 > Problem8-157

8-157.

This problem is a checkpoint for operations with vectors.

Let $\vec { \text{u} } = \langle 1 , - 2 \rangle$, $\vec { \text{v} } = \langle - 5 , - 4 \rangle$, and $\vec { \text{w} } = \langle 4,3 \rangle$. Determine:

1. The direction of $\vec { \text{v} }$.

1. $\left||\vec{\text{w}}|\right|$

Sketch a diagram for each part below and express the resultant vector in component form:

1. $-4\vec{\text{u}}$

1. $3\vec{\text{u}}-\vec{\text{w}}$

1. $\frac { 1 } { 2 } \vec { \text{v} } + 2 \vec { \text{u} }$