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

The velocity, \(\mathbf { v } \mathrm { m } \mathrm { s } ^ { - 1 }\), of a particle \(P\) at time \(t\) seconds is given by $$\mathbf { v } = ( 1 - 2 t ) \mathbf { i } + ( 3 t - 3 ) \mathbf { j }$$

1. Find the speed of \(P\) when \(t = 0\)
2. Find the bearing on which \(P\) is moving when \(t = 2\)
3. Find the value of \(t\) when \(P\) is moving
   1. parallel to \(\mathbf { j }\),
   2. parallel to \(( - \mathbf { i } - 3 \mathbf { j } )\).