The Equation of a Plane (AQA A-Level Further Maths): Flashcards

2D surface extending infinitely in all directions

$\mathbf{r} = \mathbf{a} + s\mathbf{b} + t\mathbf{c}$

A point & two non-parallel vectors in the plane

A vector perpendicular to the plane

Cross product: $\mathbf{n} = \mathbf{a} \times \mathbf{b}$

$\mathbf{r} \cdot \mathbf{n} = p$

$ax + by + cz + d = 0$

Components of normal vector

Sine ($\sin$)

Cosine ($\cos$)