IB skill practice

Use scalar product and vector angles

Calculate scalar products, angles, projections, and perpendicularity conditions.

Paper 1, Paper 2 5 marks Difficulty 3

Use scalar product and vector angles - visual coordinate focus

For vectors with \(|\mathbf{a}|=11\), \(|\mathbf{b}|=13\), and \(\mathbf{a}\cdot\mathbf{b}=55\), enter \(\cos\theta\).

Worked practice: result and interpretation

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