Question

dicuss any six properties of scalar product​

Answer 1

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 numbe

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Answer 2

The scalar product of a vector and itself is a positive real number:

. If

, then

.

The scalar product is commutative:

. Since the angle formed by

and

is and the angle formed by

and

is , and we know that .

The scalar product is pseudoassociative:

where is a real number.

The scalar product is a distributive with regard to the sum of vectors: