### Home > PC3 > Chapter Ch8 > Lesson 8.3.2 > Problem8-106

8-106.

Given $\vec { \text{m} } = \langle - 7 , - 1 \rangle$ and $\vec { \text{n} } = \langle 5,2 \rangle$, calculate $\arg\left(\vec{\text{p}}\right)$ and $|| \vec { \text{p} } | |$ where $\vec { \text{p} } = 6 \vec { \text{m} } - 8 \vec { \text{n} }$.

Use the Pythagorean Theorem to determine the length of vector $\text{p}$.
$\arg\left(\vec{\text{p}}\right)$ is the direction. Be sure to consider which quadrant the vector is in when giving your final answer.