Question

Open the Vectors applet. Draw the directed line segment from $P_1=(1,2)$to $P_2=(5,4)$. Then draw the position vector $\mathbf{v}=\overrightarrow{P_1{P}_2}$.

Short answer

The graph is as follows,

Step-by-step solution

Step 1. Given Information 

We are given two points,

$P_1=(1,2)$and

$P_2=(5,4)$

Step 2. Drawing the graph

The position vector $v=\overrightarrow{P_1{P}_2}$is given by,

$$\begin{gathered} v=\overrightarrow{O{P}_2}-\overrightarrow{O{P}_1} \\ =(5-1,4-2) \\ =(4,2) \end{gathered}$$

The graph is as follows,