Question

The angle between A+B and AxB is

Answer 1

Answer:

Given ;

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 cross product between them is not zero.)

A×B=|A| |B| sin×alpha×n,where alpha is the angle between A and B and n is the unit vector perpendicular to the plane containing A and B

So,the angle between (A+B) and (A×B) is 90°.

Mathematically,

=|A+B||A×B|cos alpha=(A+B).(A×B)

=A.(A×B)+B.(A×B)

=B.(A×A)+A.(B+B)

=0+0

Answer is 90°(degree)✔

*❤THANKS❤*

Answer 2

Answer:

Given ; two vectors A and B. lies in the same plane where A and B lie (since they are non-parallel so they define a plane and cross product between them is not zero.) So,the angle between (A+B) and (A×B) is 90°.