Chapter 9.2, Problem 53E

To determine

(a)

To show:

The points $Q\left(0,2\right)$ and $R\left(2,1\right)$ lie on $L$.

To determine

(b)

To find:

$w={\text{proj}}_{v}u$.

To determine

(c)

To sketch:

A graph that explains why $\left|u-w\right|$ is the distance from $P$ to $L$ and find this distance.

To determine

(d)

To find:

The steps used to find the distance from a given point to a given line.