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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CAT Formulas
Three Dimensional Geometry
Line Lies in a Plane
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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