Line Lies in a Plane

Rarely Tested

Line Lies in a Plane

A line lies in the plane:

$$Ax+By+Cz+D=0$$

if its direction vector satisfies:

$$Aa+Bb+Cc=0$$

and one point of the line satisfies:

$$Ax_1+By_1+Cz_1+D=0$$

Usage

- Used to check whether an entire line lies in a given plane.

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