The bar is fixed at points B and C$,$and there is a constant force F applied at point A$.$

$$ a$.$Solve for the component of F along bar BC $($parallel to a line that goes through points B and C$)$

b$.$Find a unit vector that is normal to plane ABC $($normal to a plane that contains A$,$B$,$and C$)$

c$.$Solve for the torque about point B due to force F

d$.$Solve for the torque about bar BC $($about a line through points B and C$)$ due to force F