Problem Solving using 3D Vectors (Edexcel A-Level Mathematics): Quizzes

Unit vectors along $x$, $y$, $z$ axes

$\begin{pmatrix} 3 \\ 2 \\ 5 \end{pmatrix}$

$\begin{pmatrix} 4 \\ -2 \\ 2 \end{pmatrix}$

$5$

$8$

$\cos \theta = \frac{\mathbf{a} \cdot \mathbf{b}}{|\mathbf{a}| |\mathbf{b}|}$

Perpendicular to both

$2$

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

$| \mathbf{a} \cdot (\mathbf{b} \times \mathbf{c}) |$