Sine formula for angle between vectors for JEE

Formula

\(\sin\theta=\dfrac{|\vec{a}\times\vec{b}|}{|\vec{a}|\,|\vec{b}|}\)

Variables: \(\theta\) is the angle between nonzero vectors \(\vec{a},\vec{b}\).

Conditions: \(\vec{a},\vec{b}\neq\vec{0}\).

Finding angle when cross product magnitude is known.