A golf club makes impact with a 0.045 kg golf ball during a drive off the tee. The loft angle of the club (the angle between the club face and vertical) is 20°. The normal contact force exerted by the club on the ball is a 3000 N force directed forward and upward 20° above horizontal. The friction force exerted by the club on the ball is 500 N directed forward and downward 70° below horizontal.

Required:
a. What is the magnitude of the vector sum of the two club head forces acting on the golf ball?
b. What is the direction of this resultant force?