Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Shape and Space 8
18 practice questions
Practice questions
11–18 of 18
Question 11
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 12
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 13
2 marks · Normal
Answer and see the solution →Find the magnitude of the vector .
Question 14
3 marks · Normal
Answer and see the solution →Given , calculate the column vector for and write your answer.
Question 15
3 marks · Normal
Answer and see the solution →In triangle PQR, , . Find the vector in column vector form and explain your reasoning.
Question 16
2 marks · Hard
Answer and see the solution →ABCD is a parallelogram. Given and , E is the point such that . Write the vector as a column vector.
Question 17
4 marks · Hard
Answer and see the solution →Given the vectors , , and , express the vector as a column vector. Then, calculate its magnitude, giving your answer correct to 1 decimal place.
Question 18
4 marks · Hard
Answer and see the solution →A vector has a magnitude of 13 and makes an angle of with the positive -axis. Prove that the vector could be , giving your reasoning using the definitions of vector magnitude and direction.