F~ and ∆~r are vectors. F~ = Fx ˆı + Fy ˆ + Fz kˆ where Fx = 28.3 N, Fy = 62.7 N, Fz = −71.2 N, and ∆~r = ∆x ˆı + ∆y ˆ + ∆z kˆ, where ∆x = 44.8 m, ∆y = -11.6 m, ∆z = −10.1 m. (a) What is the magnitude of F~ (N)? (b) What is the magnitude of ∆~r (m)? (c) What is the scalar product of F~ and ∆~r (J)? (d) What is the angle between F~ and ∆~r (degrees)? (e) How much work would be done if this force acted on a 30 kg space ship while it experienced a displacement of ∆~r (J)?