3. Two forces \(\mathbf { F } _ { 1 }\) and \(\mathbf { F } _ { 2 }\) and a couple \(\mathbf { G }\) act on a rigid body. The force \(\mathbf { F } _ { 1 } = ( 3 \mathbf { i } + 4 \mathbf { j } ) \mathrm { N }\) acts through the point with position vector \(2 \mathbf { i } \mathrm {~m}\) relative to a fixed origin \(O\). The force \(\mathbf { F } _ { 2 } = ( 2 \mathbf { i } - \mathbf { j } + \mathbf { k } ) \mathrm { N }\) acts through the point with position vector \(( \mathbf { i } + \mathbf { j } ) \mathrm { m }\) relative to \(O\). The forces and couple are equivalent to a single force \(\mathbf { F }\) acting through \(O\).

1. Find \(\mathbf { F }\).
2. Find G.