### Home > PC3 > Chapter 8 > 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($\vec { \text{p} }$) and $|| \vec { \text{p} } | |$ where $\vec { \text{p} } = 6 \vec { \text{m} } - 8 \vec { \text{n} }$.   Homework Help ✎

Use the Pythagorean Theorem to determine the length of vector p.
arg(p) is the direction. Be sure to consider which quadrant the vector is in when giving your final answer.