1. \hspace{0pt} [In this question \(\mathbf { i }\) and \(\mathbf { j }\) are unit vectors directed due east and due north respectively.]

A particle \(P\) is moving with constant velocity \(( - 6 \mathbf { i } + 2 \mathbf { j } ) \mathrm { m } \mathrm { s } ^ { - 1 }\). At time \(t = 0 , P\) passes through the point with position vector \(( 21 \mathbf { i } + 5 \mathbf { j } ) \mathrm { m }\), relative to a fixed origin \(O\).

1. Find the direction of motion of \(P\), giving your answer as a bearing to the nearest degree.
2. Write down the position vector of \(P\) at time \(t\) seconds.
3. Find the time at which \(P\) is north-west of \(O\).