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Vector projection
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===Scalar projection=== By the above-mentioned property of the dot product, the definition of the scalar projection becomes:<ref name=":1" /> In two dimensions, this becomes <math display="block">a_1 = \frac {\mathbf{a}_x \mathbf{b}_x + \mathbf{a}_y \mathbf{b}_y} {\left\|\mathbf{b}\right\|}.</math>
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