Cauchy-Schwarz inequality for JEE

Formula

\(|\vec{a}\cdot\vec{b}|\le |\vec{a}|\,|\vec{b}|\)

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

Conditions: Equality iff \(\vec{a}\) and \(\vec{b}\) are parallel.

Bounds, proving inequalities, checking feasibility.