State any four properties of scalar product.
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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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Properties of scalar product of two vectors are:
(1) The product quantity→A. →B is always a scalar. ...
(2) The scalar product is commutative, i.e. →A →B ≠→B. →A.
(3) The vectors obey distributive law i.e →A(→B + →C) = →A. ...
(4) The angle between the vectors θ = cos-1 [→A.
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