Angle between two vectors for JEE

Formula

\(\cos\theta=\dfrac{\vec{a}\cdot\vec{b}}{|\vec{a}|\,|\vec{b}|}\)

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

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

Finding acute/obtuse/right angle between vectors.