\stackrel{\^}{\bo {u}} and \stackrel{\^}{\bo {v}} are two non-collinear unit vectors such that \stackrel{\^}{| {{\bo {u}}+\stackrel{\^}{\bo {v}}}/{2}+\stackrel{\^}{\bo {u}} \times \stackrel{\^}{\bo {v}} |}=1. Then the value of |\stackrel{\^}{\bo {u}} \times \stackrel{\^}{\bo {v}}| is equal to

\stackrel{\^}{| {{ {\u}}+\stackrel{\^}{ {\v}}}/{2} |}

|\stackrel{\^}{ {\u}}+\stackrel{\^}{ {\v}}|

|\stackrel{\^}{\bo {u}}-\stackrel{\^}{\bo {v}}|

\stackrel{\^}{| {{ {\u}}-\stackrel{\^}{ {\v}}}/{2} |}

BITSAT 2022 Paper

Section: Mathematics

Question : 107 of 130

Marks: +1, -0

and

are two non-collinear unit vectors such that |‌

|=1. Then the value of |

| is equal to

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