Question

Fill in the blanks:

The distance from a point P to a plane $\mathcal{P}$containing a pointR with normal vector N is ______ .

Short answer

The required expression is:

$\left|{\mathrm{comp}}_{\mathbf{N}}\underset{RP}{\to }\right|=\frac{\left|\mathbf{N}\mathbf{.}\underset{\mathbf{RP}}{\mathbf{\to }}\right|}{||\mathbf{N}||}$

Step-by-step solution

Given information

A point P , a plane $\mathcal{P}$containing a point R with normal vector N

Filling in the blanks

The required expression for the distance is:

$\left|{\mathrm{comp}}_{\mathbf{N}}\underset{RP}{\to }\right|=\frac{\left|\mathbf{N}\mathbf{.}\underset{\mathbf{RP}}{\mathbf{\to }}\right|}{||\mathbf{N}||}$