| Date | November 2015 | Marks available | 4 | Reference code | 15N.2.hl.TZ0.2 |
| Level | HL only | Paper | 2 | Time zone | TZ0 |
| Command term | Find | Question number | 2 | Adapted from | N/A |
Question
The three planes having Cartesian equations \(2x + 3y - z = 11,{\text{ }}x + 2y + z = 3\) and \(5x - y - z = 10\) meet at a point \(P\). Find the coordinates of \(P\).
Markscheme
using technology and/or by elimination (eg ref on \(GDC\)) (M1)
\(x = 1.89{\text{ }}\left( { = \frac{{17}}{9}} \right),{\text{ }}y = 1.67{\text{ }}\left( { = \frac{5}{3}} \right),{\text{ }}z = - 2.22{\text{ }}\left( { = \frac{{ - 20}}{9}} \right)\) A1A1A1
Note: Award A1A1A0 for a set of correct answers not given exactly or to three significant figures.
[4 marks]
Examiners report
[N/A]
