IB skill practice

Use scalar product and vector angles

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

Paper 1, Paper 2 5 marks Difficulty 5

Compute a scalar product

For \(\mathbf{a}=(1,6,-3)\) and \(\mathbf{b}=(4,-2,5)\), calculate \(\mathbf{a}\cdot\mathbf{b}\).

Worked practice: result and interpretation

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