IB skill practice

Use vector components along non-orthogonal directions

Resolve vectors in oblique directions and interpret component relationships.

Paper 1, Paper 2 5 marks Difficulty 3

Use vector components along non-orthogonal directions - diagram reading

Let \(\mathbf{u}=(5,1)\), \(\mathbf{v}=(2,3)\), and \(\mathbf{w}=(21,12)\). The vector \(\mathbf{w}\) is written as \(p\mathbf{u}+3\mathbf{v}\). Enter \(p\).

Worked practice: result and interpretation

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