Find the Cartesian form of the forces and find the resultant force

Express each of the forces in Cartesian vector form
and determine the magnitude and coordinate direction

[WAFBECH]

Life made simple with this web😂💥. Thanks alot for the help

[xblaze]

For Cz, why did you multiply by 12/5 instead of 12/13? Why do you do the tan instead of sin?

[jescobedo]

why did you multiply F2 by cos(a), cos(b), and cos(y) to get the components of F2 instead of just multiplying the position vector AB by the 50b force to get the Cartesian form?

[billyanderson]

How is Cx = negative 2.5 and no positive