The triangle \(P Q R\) is such that \(\overrightarrow { P Q } = 3 \mathbf { i } + 5 \mathbf { j }\) and \(\overrightarrow { P R } = 13 \mathbf { i } - 15 \mathbf { j }\)
Find \(\overrightarrow { Q R }\)
Hence find \(| \overrightarrow { Q R } |\) giving your answer as a simplified surd.
The point \(S\) lies on the line segment \(Q R\) so that \(Q S : S R = 3 : 2\)