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World 1 · Vectors in space · 8 min

The shadow of an arrow

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Project a onto nonzero b with proj_b(a) = (a·b / b·b)b. The dotted segment from a to its projection is perpendicular to b. The projection can point against b when the dot product is negative.

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Project (2, 3, 0) onto (1, 0, 0).

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