"let the x-component of the vector be "F_x" (it has shown as green)."
"let the y-component of the vector be "F_y" (it has shown as blue)."
"The F vector shows the composition of "F_x " and " F_y" (it has shown as red)".
"the magnitude of F vector can be calculated using the fallowing formula."
F=sqrt(F_x^2+F_y^2)
F_x=-25" , "F_y=40
F=sqrt((-25)^2+40^2)
F=sqrt(625+1600)
F=sqrt(2225)
F=47.17 " units."
"You need to calculate the angle "alpha " or "theta " to express direction of vector F."
tan alpha=(F_y)/(F_x)
tan alpha=(40)/(-25)
tan alpha=-1.6
alpha=-57.99 ^o
"or "theta"=180-57.99=122.01^o