Vectors in 3 Dimensions (AQA A-Level Mathematics): Quizzes

Unit vectors along x, y, z axes

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

$\sqrt{29}$

$-13$

Angle between the vectors

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

Perpendicular to both

Area of parallelogram formed by vectors

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

Physics and engineering