Chapter 14.2, Problem 8WE

To determine

To find: Thevalue of the coordinate of $B$ for the given vector and the points.

Answer to Problem 8WE

The coordinate of point A is $B=\left(-3,2\right)$ .

Explanation of Solution

Given:

The given point is $A\left(-5,1\right)$ and the value of $\overrightarrow{AB}=2i+j$ .

Calculation:

Consider the diagram for the given situation is shown in Figure 1.

  

Figure 1

Consider that $p$ is 2 unit to the right and 1 unit above the origin.

Since, $\overrightarrow{AB}=\overrightarrow{OP}$ , then the point B is 2 unit to the right and the 1 unit to the point A.

Thus, the coordinate of point A is $B=\left(-3,2\right)$ .