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Projection (mathematics) in mathematics, a projection is a mapping from a set to itself—or an endomorphism of a mathematical structure —that is idempotent, that is, equals its composition with itself

The image of a point or a subset ⁠ ⁠ under a projection is called the projection of ⁠ ⁠. A projection is the transformation of points and lines in one plane onto another plane by connecting corresponding points on the two planes with parallel lines. Imagine a light source shining perpendicularly onto the line containing vector b The shadow cast by vector a is its projection onto b. Projections are basically of two types Scalar projections and vector projections

Scalar projection tells us about the magnitude of the projection or vector projection tells us about itself and the unit vector of the projection. The idea of a projection is the shadow cast by an object The projection of a sphere onto a plane. This page explains various projections, for instance if we are working in two dimensional space we can calculate The component of the point, in 2d, that is parallel to the line.

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