Question

State any four properties of scalarproducttwo non-Zerovectors.​

Answer 1

Answer:

where \thetaθ is the angle between \vec{a}

a

and \vec{b}

b

and 0 ≤ \thetaθ ≤ \piπ as shown in the figure below.

dot product

It is important to note that if either \vec{a}

a

= \vec{0}

0

or \vec{b}

b

= \vec{0}

0

, then \thetaθ is not defined, and in this case

\vec{a}

a

.\vec{b}

b

= 0

Answer 2

Answer:

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.