IB skill practice

Find shortest distance between skew lines

Use vector methods to find shortest distances between skew lines.

Paper 1, Paper 2 5 marks Difficulty 5

Skew-line distance calculation 2

For two skew lines, \(|(\mathbf{b}-\mathbf{a})\cdot(\mathbf{u}\times\mathbf{v})|=96\) and \(|\mathbf{u}\times\mathbf{v}|=16\). Find the shortest distance.

Worked practice: result and interpretation

Calculate the requested result first, then choose the interpretation that follows from it.