IB skill practice

Use cross product for normals

Find normal vectors and plane equations using vector products.

Paper 1, Paper 2 5 marks Difficulty 5

Use cross product for normals - multi-step simplification

Vectors \(\mathbf u=(15,4,-1)\) and \(\mathbf v=(4,-3,3)\) lie in a plane. Enter the first component of \(\mathbf u\times\mathbf v\).

Worked practice: result and interpretation

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