Bearings, vectors and trigonometry

Question 1 of 10

If a = (2, 3) and b = (−1, 4), find a + 2b.

Question 2 of 10

B is 5 km north and 5 km east of A. What is the bearing of B from A?

Question 3 of 10

If the bearing of P from Q is 130°, the bearing of Q from P is

Question 4 of 10

A man walks 5 km on bearing 090° and then 12 km on bearing 180°. Find the bearing of his final position from the start (tan⁻¹ 2.4 ≈ 67.4°).

Question 5 of 10

A ship sails 5 km due east then 12 km due north. How far is it from the start?

Question 6 of 10

A ship sails 6 km due east, then 8 km due north. How far is it from its start?

Question 7 of 10

The bearing of due east is

Question 8 of 10

If the bearing of B from A is 060°, the bearing of A from B is

Question 9 of 10

If p = 2i + 3j and q = −i + 4j, find |2p − q|.

Question 10 of 10

What is the bearing of due west?