The Vector Product (AQA A-Level Further Maths): Flashcards

Vector perpendicular to both inputs

Perpendicular to both $\mathbf{a}$ and $\mathbf{b}$

$-\mathbf{b} \times \mathbf{a}$ (opposite sign)

$\mathbf{k}$

$\mathbf{0}$ (zero vector)

$\mathbf{0}$ (zero vector)

Area of parallelogram formed by vectors

$\frac{|\mathbf{a} \times \mathbf{b}|}{|\mathbf{a}||\mathbf{b}|}$

$\frac{1}{2}|\mathbf{a} \times \mathbf{b}|$

Negative (always has minus sign)