state and explain commutative law of scalar product theory
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From these laws it follows that any finite sum or product is unaltered by reordering its terms or factors. ... Scalar multiplication of two vectors (to give the so-called dot product) is commutative (i.e., a·b = b·a), but vector multiplication (to give the cross product) is not (i.e., a × b = −b × a).
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