Vectors and trigonometric ratios

Question 1 of 10

If a = (3, −2) and b = (−1, 5), find 2a − b.

Question 2 of 10

If OA = (3, 4) and OB = (7, 1), find |AB|.

Question 3 of 10

In a right-angled triangle, sin θ = 5/13. Find cos θ.

Question 4 of 10

If tan θ = 8/15 and θ is acute, find sin θ + cos θ.

Question 5 of 10

A 10 m ladder makes an angle of 60° with the ground. How high up the wall does it reach?

Question 6 of 10

In a right triangle, the side opposite 30° is 4 cm. The hypotenuse is

Question 7 of 10

A vector starts at (1, 2) and ends at (4, 6). How long is it?

Question 8 of 10

What is the exact value of tan 60°?

Question 9 of 10

If cos θ = 0.6 and θ is acute, sin θ =

Question 10 of 10

If p = (3, −1) and q = (−2, 5), find 3p + 2q.