IB skill practice

Use vector projection in 3D

Resolve vectors into projected components and interpret 3D geometry.

Paper 1, Paper 2 5 marks Difficulty 3

Use vector projection in 3D - visual projection meaning

For 3D vectors, \(\mathbf{a}\cdot\mathbf{b}=48\) and \(|\mathbf{b}|=10\). Enter the scalar projection of \(\mathbf{a}\) onto \(\mathbf{b}\).

Worked practice: result and interpretation

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