Problem $5$: Assume that the tension in cables AC and AD are $400$ N and $600$ N $,$ respectively.

Assume Force P is $300$ N $.$

a$)$ Determine the vectors $AC$ and $AD.$

b$)$ Determine the angle between vectors $AC$ and $AD.$

c$)$ What is the net force acting on the point A from cable $AC,$ cable $AD,$ and Force $P.$