1 Three forces represented by the vectors \(- 4 \mathbf { i } , \mathbf { i } + 2 \mathbf { j }\) and \(k \mathbf { i } - 2 \mathbf { j }\) act at the points with coordinates \(( 0,0 ) , ( 3,0 )\) and \(( 0,4 )\) respectively.
- Given that the three forces form a couple, find the value of \(k\).
- Find the magnitude and direction of the couple.