Write down properties of scalar product of two vectors.
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Properties of the scalar product
The scalar product of a vector and itself is a positive real number: u → ⋅ u → ⩾ 0 . ...
The scalar product is commutative: u → ⋅ v → = v → ⋅ u → . ...
The scalar product is pseudoassociative: α ( u → ⋅ v → ) = ( α u → ) ⋅ v → = u → ⋅ ( α v → ) where is a real number.
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Answer:
Properties of the scalar product
The scalar product of a vector and itself is a positive real number: u → ⋅ u → ⩾ 0 . ...
The scalar product is commutative: u → ⋅ v → = v → ⋅ u → . ...
The scalar product is pseudoassociative: α ( u → ⋅ v → ) = ( α u → ) ⋅ v → = u → ⋅ ( α v → ) where is a real number.
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