Chapter 14.2, Problem 2WE

To determine

To find: The representation of the given vector in the component form.

Answer to Problem 2WE

The required component form is $-\overrightarrow{i}+4\overrightarrow{j}$ .

Explanation of Solution

Given:

The $\overrightarrow{QR}$ vector is to identified.

The given diagram is shown in Figure 1

  

Figure 1

Calculation:

From the given graph, the vector $\overrightarrow{QR}$ is obtained as,

  $\begin{array}{c}\overrightarrow{QR}=\left[4-5\right]i+\left[2-\left(-2\right)\right]j\\ =-\overrightarrow{i}+4\overrightarrow{j}\end{array}$

Then,

  $\overrightarrow{OP}=5i-2j$