Question

If a vector × b vector= b vector× a vector then angle between A and B is​

Answer 1

Explanation:

A×B =B×A

ABsintheta1=BAsintheta2

If we cancel out the common terms

sin theta1 = sin theta2

theta 1= theta2

By triangular law of addition

theta 1 + theta 2 =90

theta 1 = theta 2

so theta =45

Answer 2

Answer: the angle between A and B is $45^{0}$

Explanation:

• the given as,

                           $A$ X $B =$ $B$ X $A$

                           $AB Sin$θ$_{1}$$=BAsin$θ$_{2}$

• now we have to cancel the common terms

                      $sin$θ$_{1} =sin$θ$_{2}$

                           θ$_{1} =$ θ$_{2}$

• By triangular law of addition

                  θ$_{1}+$θ$_{2}=90^{0}$

                         θ$_{1} =$ θ$_{2}$

                     ∴$2$θ$=90^{0}$

                         θ$=45^{0}$

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