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 - component setup

Let \(\mathbf{u}=(2,1)\), \(\mathbf{v}=(1,4)\), and \(\mathbf{w}=(14,14)\). The vector \(\mathbf{w}\) is written as \(p\mathbf{u}+2\mathbf{v}\). Enter \(p\).

Worked practice: result and interpretation

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