Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Shape and Space 8
18 practice questions
Practice questions
1–8 of 8 · Normal
Question 1
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 2
3 marks · Normal
Answer and see the solution →The vector is . Calculate the magnitude of , giving your answer to 3 significant figures.
Question 3
3 marks · Normal
Answer and see the solution →Given the vectors and , write down the vector as a column vector.
Question 4
4 marks · Normal
Answer and see the solution →In the diagram below, OABC is a parallelogram. , . D is a point such that .
Parallelogram OABC with point D marked (a)[1 mark]Express in terms of and .
(b)[1 mark]Find in terms of and .
(c)[2 marks]Show that points O, D and C are collinear.
Question 5
4 marks · Normal
Answer and see the solution →A table shows the endpoints of several vectors. Complete the missing column vectors.
Vector table Vector Starting point Ending point Column vector p (0, 0) (5, 3) q (2, 4) (4, -1) r (−3, 2) (0, 8) s (1, 6) (−2, 2) Question 6
2 marks · Normal
Answer and see the solution →Find the magnitude of the vector .
Question 7
3 marks · Normal
Answer and see the solution →Given , calculate the column vector for and write your answer.
Question 8
3 marks · Normal
Answer and see the solution →In triangle PQR, , . Find the vector in column vector form and explain your reasoning.