Chapter E, Problem 13.2EX

To determine

To find $\overrightarrow{\left|PQ\right|}$ .

Answer to Problem 13.2EX

Option (d)

Explanation of Solution

Given information: $P=(-2,0);Q=(2,5)$ .

Concept used:

The distance between the two points is

  $\begin{array}{l}\overrightarrow{PQ}=\left(x,y\right),\text{then}\\ \left|\overrightarrow{PQ}\right|=\sqrt{x^2+y^2}\end{array}$

  $\begin{array}{l}\overrightarrow{PQ}=\left(2+2,5-0\right)=\left(4,5\right)\\ \left|\overrightarrow{PQ}\right|=\sqrt{16+25}=\sqrt{41}\end{array}$

Hence, $\left|\overrightarrow{PQ}\right|=\sqrt{41}$