Question $1($Type B$)$

The following diagram will be referenced for all parts of this question:

a$)$ Find the resultant force vector from adding $F_1$ and $F_3,$ using the parallelogram method of adding vectors. Provide Given, Find, Assume, Problem Type$/$Features$,$ Force Diagrams, Calculations, and Conclusions as per the GE $123$ Solution Requirements and Style Guide Winter $2024.$ Provide the magnitude and angle of the resultant force vector in your Conclusions.

b$)$ Find the resultant force vector from adding $F_1,F_2$ and $F_3,$ using the triangle$/$trig method of adding vectors. Provide Given, Find, Assume, Force Diagrams, Calculations, and Conclusions as per the Solution Guide. Express the resultant force vector as a vector in your Conclusions with magnitude and angle.

c$)$ Find the resultant force vector from adding $F_1,F_2$ and $F_3,$ using Cartesian scalar or vector components. Provide Given, Find, Assume, Force Diagrams, Calculations, and Conclusions as per the Solution Guide. Express your final answer as a Cartesian vector as well as a magnitude and angle.