1MA0 Higher June 2014 Paper 2 Q19

EdexcelHigherOld spec2 marksLinear Graphs & Gradients

19 Here is a cuboid drawn on a 3-D grid.

Cuboid on a 3-D grid with one vertex at O; the x axis is marked to 6, the y axis to 4 and the z axis to 3; P is the vertex opposite O

Diagram NOT accurately drawn

\(P\) is a vertex of the cuboid.

\(T\) divides the line \(OP\) in the ratio \(1 : 2\)

Find the coordinates of \(T\). (2)