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

A scalar (single number), not a vector

$|\mathbf{a}||\mathbf{b}|\cos\theta$

$a_1b_1 + a_2b_2 + a_3b_3$

Vectors are perpendicular

$1$

$0$ (perpendicular unit vectors)

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

$\mathbf{a} \cdot \mathbf{b} = \mathbf{b} \cdot \mathbf{a}$

$\mathbf{a} \cdot \mathbf{b} + \mathbf{a} \cdot \mathbf{c}$

Subtract acute angle from 180°