6. Two horizontal roads cross at right angles. One is directed from south to north, and the other from east to west. A tractor travels north on the first road at a constant speed of \(6 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) and at noon is 200 m south of the junction. A car heads west on the second road at a constant speed of \(24 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) and at noon is 960 m east of the junction.
- Find the magnitude and direction of the velocity of the car relative to the tractor.
- Find the shortest distance between the car and the tractor.