2 A particle has a position vector \(\mathbf { r }\), where \(\mathbf { r } = 4 \mathbf { i } - 5 \mathbf { j }\) and \(\mathbf { i }\) and \(\mathbf { j }\) are unit vectors in the directions east and north respectively.
- Sketch \(\mathbf { r }\) on a diagram showing \(\mathbf { i }\) and \(\mathbf { j }\) and the origin O .
- Calculate the magnitude of \(\mathbf { r }\) and its direction as a bearing.
- Write down the vector that has the same direction as \(\mathbf { r }\) and three times its magnitude.