A body constrained to move along the z-axis of a coordinate system is subjected to a constant force \(\vec{F}\) = (-î + 2ĵ + 3k̂) N, where î, ĵ, k̂ are unit vectors along the x, y, and z axis of the system respectively. What is work done by this force in moving the body a distance of 4 m along the z-axis?
1
4 J
2
8 J
3
12 J
4
16 J