a1 calculate the magnitude and direction of two or more vector quantit
Question
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). }