$1.$ A force vector acting on a screw eye attached to the ground is shown in the xyz space. The screw eye is located at the origin. The force Fis $500$ N and located at the third octant, $60\backslash$deg away from the positive z$-$axis and $60\backslash$deg away from the negative x$-$axis. Express the force Fas a Cartesian vector. F $=500$ N $60\backslash$deg $60$