Vectors — Questions

IGCSE Mathematics (0580) practice questions. Work through each question before checking the solutions page.

Question 1

[2](a)Given a = (3, 4) and b = (−1, 2), find a + b and a − b.

Question 2

[1](a)Find 2a, using a = (3, 4).

Question 3

[2](a)Calculate the magnitude of vector a = (3, 4).

Question 4

[2](a)Given a = (2, −3) and b = (5, 1), find 3a − 2b.

Question 5

[2](a)Find the magnitude of vector b = (5, 1), to 3 significant figures.

Question 6

[3](a)Find a unit vector in the direction of a = (2, −3).

Question 7

[2](a)OABC is a parallelogram with OA = a and OC = c. Express the vector AB in terms of a and c.

Question 8

[2](a)Find the magnitude of vector a = (4, −1), to 3 significant figures.

Question 9

[2](a)Given a = (4, −1) and b = (−2, 3), find a + 2b.

Question 10

[2](a)OABC is a parallelogram with OA = a and OC = c. Express AC in terms of a and c.

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