Plane at a Given Distance from Origin

Plane at a Given Distance from Origin

A plane with unit normal vector:

$$l\hat i+m\hat j+n\hat k$$

at distance $$p$$ from the origin is:

$$lx+my+nz=p$$

where:

$$l^2+m^2+n^2=1$$

Usage

- Used to construct a plane when its normal direction and distance from origin are specified.

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