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

A point and two non-parallel vectors

To span the entire plane surface

A vector perpendicular to the plane

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

$\mathbf{a} \cdot \mathbf{n}$

The normal vector to the plane

$\sin \theta = \frac{|\mathbf{b} \cdot \mathbf{n}|}{|\mathbf{b}||\mathbf{n}|}$

$\cos \theta = \frac{|\mathbf{n}_1 \cdot \mathbf{n}_2|}{|\mathbf{n}_1||\mathbf{n}_2|}$

Check normals parallel, then check a point

Vector equation form