Chapter 14.2, Problem 7WE

To determine

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

Answer to Problem 7WE

The coordinate of $B$ is $\left(6,-7\right)$ .

Explanation of Solution

Given:

The given point is $A\left(4,-3\right)$ and the value of $\overrightarrow{AB}=2i-4j$ .

Calculation:

Consider the value of $\overrightarrow{AB}=2i-4j$ with the initial point at the origin and the $P$ coordinates is $\left(2,-4\right)$ as shown in Figure 1

  

Figure 1

In the above graph, the point P is two unit to the right and 4 unit below the origin. For $\overrightarrow{AB}=\overrightarrow{OP}$ . Thus, the point B must be 2 units to the right and 4 unit to the downwards of point A.

Then, plot point $A\left(4,-3\right)$ and move two units to the right and 4 unit to the left below from the point A and label the point obtained B and draw the line vector AB as shown in Figure 2

  

Figure 2