Mathematics · essential

Vector (cross) product definition for JEE

Scalar and vector products

Formula

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

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

Conditions: Direction is perpendicular to both \(\vec{a}\) and \(\vec{b}\) according to right-hand rule.

Area, perpendicular vectors, moment-like quantities.

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