QJEEM02Mae607: JEE Main 2002 Physics - Class 11 JEEM02Mae607 Solution: If and the angle between and is then is equal to :

Question

Verified Solution • 2025–26 Session moderate

If

\left| {\overrightarrow a } \right| = 4,\left| {\overrightarrow b } \right| = 2

and the angle between

{\overrightarrow a }

and

{\overrightarrow b }

is

\pi /6

then

{\left( {\overrightarrow a \times \overrightarrow b } \right)^2}

is equal to :

Accepted Answer

{\left( {\overrightarrow a \times \overrightarrow b } \right)^2} = {\left| {\overrightarrow a } \right|^2}{\left| {\overrightarrow b } \right|^2}\,\,{\sin ^2}{\pi \over 6}

= 16 \times 4 \times {1 \over 4} = 16

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