IB skill practice

Use vector equations for projections onto planes

Project points and vectors onto planes using vector equations.

Paper 1, Paper 2 5 marks Difficulty 3

Use vector equations for projections onto planes - diagram setup

Point P(1,3,2) is projected onto the plane \(3x+0y+4z=5\) along the normal \((3,0,4)\). Enter the projection multiplier \(\lambda\) along the normal.

Worked practice: result and interpretation

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