In this question the unit vectors $i\mathbf{i}$ and $j\mathbf{j}$ are due east and due north respectively.

A coastguard station $O\,$ monitors the movements of a small boat.

At 08:00 the boat is at the point $(3i−4j)(3\mathbf{i} - 4\mathbf{j})$ km relative to $O$ .

At 10:20 the boat is at the point $(−2i−7j)(-2\mathbf{i} - 7\mathbf{j})$ km relative to $O$ .

The motion of the boat is modelled as that of a particle moving in a straight line at constant speed.

Calculate the bearing on which the boat is moving, giving your answer to 1 decimal place.

Calculate the speed of the boat, giving your answer in km h $^{-1}$ to 3 significant figures.

In this question the unit vectors $i\mathbf{i}$ and $j\mathbf{j}$ are due east and due north respectively.

A coastguard station $O\,$ monitors the movements of a small boat.

At 08:00 the boat is at the point $(3i−4j)(3\mathbf{i} - 4\mathbf{j})$ km relative to $O$ .

At 10:20 the boat is at the point $(−2i−7j)(-2\mathbf{i} - 7\mathbf{j})$ km relative to $O$ .

The motion of the boat is modelled as that of a particle moving in a straight line at constant speed.

Calculate the bearing on which the boat is moving, giving your answer to 1 decimal place.

Calculate the speed of the boat, giving your answer in km h $^{-1}$ to 3 significant figures.

1.11 Vectors

1.11 Vectors Questions