Chapter 8, Problem 14CT

To determine

To sketch: The figure that contains plane and two lines that intersect the plane at one point.

Answer to Problem 14CT

  

The $M$ being intersected by lines $P$ and $Q$ .

Explanation of Solution

Given:

Plane and two lines that intersect the plane at one point.

Concept used:

If two planes intersect each other, the intersection will always be a line.

The vector equation for the line of intersection is given by:

  $r=r_0+t_v$ .

The parametric equations for the line of intersection are given by:

  $x=a,y=b\text{ and }z=c$ .

  $r=ai+bj+ck$ .

Calculation:

Diagram plane $M$ being intersected by lines $P$ and $Q$ that pass through the plane and intersect it and each other at point $M$ .

  

Hence, the $M$ being intersected by lines $P$ and $Q$ .