Shortest Distances - Lines (Edexcel A-Level Further Mathematics): Flashcards

Direction vectors of the lines

Points on the lines

$d=\frac{|(\mathbf{p}-\mathbf{a})\times\mathbf{b}|}{|\mathbf{b}|}$

$\mathbf{r} = \mathbf{a} + \lambda \mathbf{b}$

$|(\mathbf{a}_2-\mathbf{a}_1)\cdot(\mathbf{b}_1\times\mathbf{b}_2)|$

$|\mathbf{b}_1 \times \mathbf{b}_2|$

The point

Direction vector of the line

A point on the line

Cross product