\(\overrightarrow{AB}=\begin{pmatrix}-7\\ 3\end{pmatrix}\) and the point A is \((-3,5)\).
Find an equation for the line that passes through A and is parallel to AB. Give your answer in the form ax+by=c, where a, b and c are integers.[2]
The equation of line q is \(3y-4x+26=0\). O is the origin. The product (gradient of q) × (gradient of OP) = −1. Write down the equation of line OP.[2]
The position vector of T is \(\begin{pmatrix}k\\ 7\end{pmatrix}\) and the length of AT is equal to the length of AB. Find the possible value(s) of k.[3]