The point \(O\) is the origin.
Two points \(P\) and \(Q\) are such that \(\overrightarrow{PQ}\) is in the same direction as \(-\mathbf i+5\mathbf j\).
The point \(R\) is such that \(\overrightarrow{OR}\) is in the same direction as \(\overrightarrow{PQ}\) and the magnitude of \(\overrightarrow{OR}\) is \(3\sqrt{26}\).
Find \(\overrightarrow{OR}\).[3]
\(\overrightarrow{OP}\) is in the same direction as \(2\mathbf i-3\mathbf j\) and \(\overrightarrow{OQ}=10\mathbf i+6\mathbf j\).
Find \(\overrightarrow{OP}\).[4]