#"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#