3. A force with units in newtons and defined by \overrightarrow{F} [300, 700, 500] acts on an object with displacement, in metres, defined by \overrightarrow{d} [3, 1, 12]. (A4/C4)
a) Determine the work done in the direction of travel.
b) Determine the work done against gravity, which is a force in the direction of the negative z-axis.