CSEC Additional Mathematics · 2018 · Paper 1 · Question Q24

The vectors \mathbf{i} and \mathbf{j} represent 1\text{ km/h} east and north respectively. A man sails a boat on a lake such that the velocity is -\mathbf{i} + 2\mathbf{j} when there is no current. If there is a current of 3\mathbf{i}, then the resultant velocity, \mathbf{v}, is given by

1. (A)2\mathbf{i} + 2\mathbf{j}\text{ km/h}
2. (B)4\mathbf{i} - 2\mathbf{j}\text{ km/h}
3. (C)-4\mathbf{i} + 2\mathbf{j}\text{ km/h}
4. (D)-4\mathbf{i} - 2\mathbf{j}\text{ km/h}