Chapter 13.4, Problem 9WE

To determine

To find: Vector $\overrightarrow{AB}$ And the magnitude of a vector $\overrightarrow{AB}$ .

Answer to Problem 9WE

Vector $\overrightarrow{AB}=\left(-3,-6\right)$

magnitude of a vector $\left|\overrightarrow{AB}\right|=3\sqrt{5}$ .

Explanation of Solution

Given information: Points A and B are

  $A\left(-1,-1\right),B\left(-4,-7\right)$ .

Calculation: Points A and B are

  $A\left(-1,-1\right),B\left(-4,-7\right)$ .

  

  $\begin{array}{l}\overrightarrow{AB}=\left(\left(-4\right)-\left(-1\right),\left(-7\right)-\left(-1\right)\right)\\ \overrightarrow{AB}=\left(-3,-6\right)\end{array}$

  $\begin{array}{l}\left|\overrightarrow{AB}\right|=\sqrt{{\left(-3\right)}^2+{\left(-6\right)}^2}\\ \left|\overrightarrow{AB}\right|=3\sqrt{5}\end{array}$