A1 Calculate the magnitude and direction of two or more vector quantities A2 Determine different parameters using vector diagrams (Q2): The screw eye sketched in Figure 2 is subjected to three forces characterised by following magnitudes (measured in Newtons):F₁ = GF2 = (G-3.5)/2F3 = (5.7-G)/3

Determine: \text { a) The coordinates angles } \alpha_{1}, \beta_{1} \gamma_{1} \text { of } F_{1}(2 \text { marks); } \text { b) The expression of } \mathbf{F}_{2} \text { in Cartesian vector notation } \text { c) The expression of the resultant force } \mathbf{F}_{\mathbf{R}}=\mathbf{F}_{1}+\mathbf{F}_{2}+\mathbf{F}_{3} \text { in Cartesian vector notation (2 marks); } \text { d) The coordinates angles } \alpha, \beta \text { and } \gamma \text { of } \mathbf{F}_{\mathbf{R}} \text { ( } 2 \text { marks). }