Lines and planes in three dimensions (AQA GCSE Further Maths): Flashcards

A flat surface extending infinitely in all directions

The steepest path down a plane

Parallel, intersecting, skew

Lines that don't meet & aren't parallel (exist in different planes)

Parallel, intersects at point, lies within

Parallel or intersecting

A straight line

Angle between two planes

$a^2 + b^2 + c^2 = d^2$

$V = \frac{1}{3} \times \text{base area} \times \text{height}$

$\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}$

$a^2 = b^2 + c^2 - 2bc \cos A$

$\text{Area} = \frac{1}{2}ab \sin C$

Break 3D into 2D triangles