A space probe of mass 2.5×103kg is travelling in space with velocity v=(7i+2j−4k)kms−1 relative to an inertial frame. Using this information, answer the following:
a. (a) Express the given velocity in SI units.
b. (b) Determine the linear momentum vector of the probe in unit-vector notation.
c. (c) Calculate the magnitude of the probe’s momentum.
d. (d) Find the component of momentum along the negative z-axis and state whether this indicates motion toward or away from the origin along that axis.