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

A vector perpendicular to both vectors

$\mathbf{a} \times \mathbf{b} = -\mathbf{b} \times \mathbf{a}$

$\mathbf{k}$

$-\mathbf{k}$

When $\mathbf{a}$ and $\mathbf{b}$ are parallel

Area of parallelogram formed by the vectors

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

The $\mathbf{j}$ component always has a minus sign

$\sin\theta = \frac{|\mathbf{a} \times \mathbf{b}|}{|\mathbf{a}||\mathbf{b}|}$

$(\mathbf{r} - \mathbf{a}) \times \mathbf{b} = \mathbf{0}$