Chapter 14.2, Problem 9WE

To determine

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

Answer to Problem 9WE

The given vector is $A\left(2,6\right)$ .

Explanation of Solution

Given:

The given point is $B\left(4,5\right)$ and the value of $\overrightarrow{AB}=2i-j$ .

Calculation:

Consider an equivalent vector say $\overrightarrow{OB}=2i-j$ with the initial point at the origin. Then, the coordinates of $P$ is shown in Figure 1

  

Figure 1

Since, the point O is 2 unit to the left and 1 unit above the point P. Then, $\overrightarrow{AB}=\overrightarrow{OP}$ , then A must be 2 unit to the left and 1 unit above the origin.

The next step is to plot the point $B$ , and move to 2 unit left and 1unit to the above and then label the point $A$ and then draw $\overrightarrow{AB}$ as shown in Figure 2

  

Figure 2

The given vector is $A\left(2,6\right)$ .