Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Shape and Space 8
18 practice questions
Practice questions
1–10 of 18
Question 1
1 mark · Easy
Answer and see the solution →Write the column vector for a translation three units right and two units down.
Question 2
2 marks · Easy
Answer and see the solution →Find the magnitude of the vector .
Question 3
2 marks · Easy
Answer and see the solution →Given and , write down the vector as a column vector.
Question 4
3 marks · Easy
Answer and see the solution →In the diagram below, OABC is a parallelogram. and .
Parallelogram OABC. (a)[1 mark]Write down the column vector .
(b)[1 mark]Express as a column vector.
(c)[1 mark]Show that is a parallelogram.
Question 5
3 marks · Easy
Answer and see the solution →Use the coordinates in the table to write each displacement as a column vector.
Displacements as Vectors Vector Start End Column vector p (1, 4) (6, 2) q (3, -1) (7, 3) r (-2, 5) (0, 7) Question 6
1 mark · Easy
Answer and check →Give the exact value of the magnitude of the vector .
Question 7
2 marks · Easy
Answer and see the solution →Given , calculate as a column vector.
Question 8
2 marks · Normal
Answer and see the solution →Write the column vector for the displacement from the point (−2, 6) to the point (4, −3).
Question 9
3 marks · Normal
Answer and see the solution →The vector is . Calculate the magnitude of , giving your answer to 3 significant figures.
Question 10
3 marks · Normal
Answer and see the solution →Given the vectors and , write down the vector as a column vector.