IB skill practice

Find angles between lines and planes

Use scalar products and normals to find angles involving lines and planes.

Paper 1, Paper 2 5 marks Difficulty 5

Find angles between lines and planes - visual interpretation link

A line has direction length 13, a plane normal has length 25, and \(|\mathbf{d}\cdot\mathbf{n}|=65\). Enter \(\sin\alpha\), where \(\alpha\) is the angle between the line and the plane.

Worked practice: result and interpretation

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