IB skill practice

Analyse intersections of three planes

Classify and solve systems representing intersections of three planes.

Paper 1, Paper 2 5 marks Difficulty 4

Analyse intersections of three planes - geometric meaning

Three planes have been reduced to \(x+y+z=9\), \(y+z=8\), and \(z=2\). Enter the \(x\)-coordinate of their intersection point.

Worked practice: result and interpretation

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