The projection of a point on a given line or plane is the foot of the perpendicular from that point on the given line or plane. If the point lies on the given line or plane then its projection is the point itself.

Example:

Find the projections of the point $(2, 3, -6)$ on the coordinates axes and the coordinate planes.

Solution :

Projection of $(2, 3, -6)$ on $x, y, \text { and } z$ -axes are given by $(2, 0, 0) , (0,3,0) \text { and } (0, 0, -6)$ respectively.

Projection of $(2, 3, -6)$ on the $xy, yz, \text { and } zx$ -planes are $(2,3,0), (0,3,-6) \text { and } (2,0,-6)$ respectively.

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