question_answer

If \[\overset{\to }{\mathop{A}}\,.\overset{\to }{\mathop{B}}\,=|\overset{\to }{\mathop{A}}\,\times \overset{\to }{\mathop{B}}\,|\], find the value of angle between                

Answer:

As \[\overset{\to }{\mathop{A}}\,.\overset{\to }{\mathop{B}}\,=|\overset{\to }{\mathop{A}}\,\times \overset{\to }{\mathop{B}}\,|\], therefore, \[AB\,\cos \theta =AB\sin \theta \]or \[\tan \theta =1\]or\[\theta =\pi /4\]