Question

if root 3 |A*B|=A.B then find the angle btween A and B

Answer 1

Answer:

30 degree is the answer

Answer 2

Answer:

Angle between A and B is 30°

Step by Step explanations :

Given that,

dot product of two vectors is root three times the cross product of the vectors

that is ,

√3|A × B| = |A•B|

and we know that,

dot product(|A•B|) = AB cos@

and cross product(|A × B|) = AB sin@

putting the values,

√3|A × B| = |A•B|

√3AB sin@ = AB cos@

1/√3 = sin@/cos@

tan@ = 1/√3

so,

@ = 30°

Hence,

Angle between A and B is 30°