Question

If A and B are two vectors then A.(AXB) is​

Answer 1

Explanation:

Two vectors A and B.

A and B are two vectors. So, their sum A+B lies in the same plane where A and B lie (Since they are non -parallel so they define a plane and the cross product between them is not zero.)

A×B=∣A∣∣B∣sinαn, where α is the angle between A & B and n is the unit vector perpendicular to the plane containing A & B. So, the angle between (A+B) and (A×B) is 90

0

.

Mathematically,

∣A+B∣∣A×B∣cosα=(A+B).(A×B)

=A.(A×B)+B.(A×B)

=B.(A×A)+A.(B×B)

=0+0