Vector triple product expansion for JEE

Formula

\(\vec{a}\times(\vec{b}\times\vec{c})=\vec{b}(\vec{a}\cdot\vec{c})-\vec{c}(\vec{a}\cdot\vec{b})\)

Variables: \(\vec{a},\vec{b},\vec{c}\) are vectors.

Lagrange's formula; simplifying nested cross products.