State properties of scalar product
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Properties
Commutative: ...
Distributive over vector addition:
Bilinear:
Scalar multiplication:
Not associative because the dot product between a scalar (a ⋅ b) and a vector (c) is not defined, which means that the expressions involved in the associative property, (a ⋅ b) ⋅ c or a ⋅ (b ⋅ c) are both ill-defined. ...
Orthogonal:
Commutative: ...
Distributive over vector addition:
Bilinear:
Scalar multiplication:
Not associative because the dot product between a scalar (a ⋅ b) and a vector (c) is not defined, which means that the expressions involved in the associative property, (a ⋅ b) ⋅ c or a ⋅ (b ⋅ c) are both ill-defined. ...
Orthogonal:
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scalar product means that have only direction not magnitude
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