Position Vectors · CSEC Mathematics

51 past-paper questions on Position Vectors, part of VECTORS AND MATRICES, from every CSEC Mathematics paper on Quelpr.

1. 10(d)(i)1 mark· CSEC Mathematics · 2021 · Paper 2Write \vec{OR} as a column vector.
2. 10(b)(i)3 marks· Mathematics Q10 10(b)(i)Complete the diagram below to represent ALL the information given above.
3. 11(a)(i)5 marks· Mathematics Q11 11(a)(i)Express EACH of the following in the form (x y): OB, AB, OM
4. 11(a)(i)3 marks· Mathematics Q11 11(a)(i)Express in the form (x, y) the vectors AB and AC.
5. 11(a)(i)a)2 marks· Mathematics Q11 11(a)(i)a)Express in the form (x, y) the vector BA.
6. 11(a)(i)a)1 mark· Mathematics Q11 11(a)(i)a)Write as a column vector, in the form (x, y), OA.
7. 11(a)(i)b)1 mark· Mathematics Q11 11(a)(i)b)Write as a column vector, in the form (x, y), OB.
8. 11(a)(i)b)2 marks· Mathematics Q11 11(a)(i)b)Express in the form (x, y) the vector BC.
9. 11(a)(iii)2 marks· Mathematics Q11 11(a)(iii)Draw a sketch to show the relative positions of A, B and C.
10. 11(b)(i)1 mark· Mathematics Q11 11(b)(i)Write as a column vector in the form (x y): OR
11. 11(b)(i)2 marks· Mathematics Q11 11(b)(i)Draw a sketch of the triangle OMN and label the points O, M, N and L.
12. 11(b)(i)1 mark· Mathematics Q11 11(b)(i)Write as a column vector in the form [x, y]: the vector OP
13. 11(b)(i)a)3 marks· Mathematics Q11 11(b)(i)a)Write in the form [[a], [b]] the vector OP.
14. 11(b)(ii)1 mark· Mathematics Q11 11(b)(ii)Write as a column vector in the form (x y): OS
15. 11(b)(ii)2 marks· Mathematics Q11 11(b)(ii)Express in the form [x, y], the vectors RS and ST. RS = ____________ ST = ____________
16. 11(b)(ii)2 marks· Mathematics Q11 11(b)(ii)Write as a column vector in the form [x, y]: the vector QR.
17. 11(b)(iii)3 marks· Mathematics Q11 11(b)(iii)Determine the position vector of L.
18. 11(c)(i)2 marks· Mathematics Q11 11(c)(i)What term is used to describe OP?
19. 11(c)(i)1 mark· Mathematics Q11 11(c)(i)Express in the form [x, y], vector OS.
20. 11(c)(ii)a)1 mark· Mathematics Q11 11(c)(ii)a)Write OP in the form [a, b].
21. 11(c)(ii)b)1 mark· Mathematics Q11 11(c)(ii)b)Write OQ in the form [a, b].
22. 13(a)2 marks· Mathematics Q13 13(a)Copy the diagram and complete it to show the points of P and M.
23. 13(a)2 marks· Mathematics Q13 13(a)Write in the form [x y] the position vectors of A, B and C.
24. 13(a)2 marks· Mathematics Q13 13(a)Sketch the diagram above. Show the approximate positions of points R and S such that R is the mid-point of OK and S is a point on OM such that OS = (1/3)OM.
25. 13(a)(i)1 mark· Mathematics Q13 13(a)(i)Write the following position vectors in the form (x y): OA.
26. 13(a)(i)4 marks· Mathematics Q13 13(a)(i)Express in the form (x, y) the vectors AB and AG.
27. 13(a)(i)1 mark· Mathematics Q13 13(a)(i)Sketch the diagram above in your answer booklet and insert the point X on OM such that OX = (1/3) OM.
28. 13(a)(i)3 marks· Mathematics Q13 13(a)(i)Write as a column vector, in the form (x y), the vector OA.
29. 13(a)(i)2 marks· Mathematics Q13 13(a)(i)Express in the form (x, y) the position vectors OA, OB, OC, and OD where O is the origin (0, 0).
30. 13(a)(i)1 mark· Mathematics Q13 13(a)(i)Write as a column vector, in the form (x y), OP.
31. 13(a)(i)a)3 marks· Mathematics Q13 13(a)(i)a)Express the vector OB in the form [a b].
32. 13(a)(ii)2 marks· Mathematics Q13 13(a)(ii)Express in the form (x, y) the vectors AB and DC.
33. 13(a)(ii)2 marks· Mathematics Q13 13(a)(ii)Express in the form (x, y) the position vector OG.
34. 13(a)(ii)1 mark· Mathematics Q13 13(a)(ii)Produce PX to Q such that PX = 4 XQ.
35. 13(a)(ii)3 marks· Mathematics Q13 13(a)(ii)Write as a column vector, in the form (x y), the vector CB.
36. 13(a)(ii)1 mark· Mathematics Q13 13(a)(ii)Write the following position vectors in the form (x y): OB.
37. 13(a)(ii)1 mark· Mathematics Q13 13(a)(ii)Write as a column vector, in the form (x y), OQ.
38. 13(a)(iii)1 mark· Mathematics Q13 13(a)(iii)Write the following position vectors in the form (x y): OC.
39. 13(b)(i)4 marks· Mathematics Q13 13(b)(i)Write in the form [x y] the vector AB.
40. 13(b)(i)1 mark· Mathematics Q13 13(b)(i)Show the position of N on your diagram.
41. 13(b)(i)2 marks· Mathematics Q13 13(b)(i)Express QR as a vector in the form (x y).
42. 13(b)(i)1 mark· Mathematics Q13 13(b)(i)Write as a column vector, in the form [x y], the vector OA
43. 13(b)(i)a)4 marks· Mathematics Q13 13(b)(i)a)Express in the form (a, b) the vector RT.
44. 13(b)(i)b)4 marks· Mathematics Q13 13(b)(i)b)Express in the form (a, b) the vector SR.
45. 13(b)(ii)4 marks· Mathematics Q13 13(b)(ii)Write in the form [x y] the vector AC.
46. 13(b)(ii)1 mark· Mathematics Q13 13(b)(ii)Write as a column vector, in the form [x y], the vector OC
47. 13(b)(ii)b)5 marks· Mathematics Q13 13(b)(ii)b)Hence, state the coordinates of F.
48. 13(b)(iii)4 marks· Mathematics Q13 13(b)(iii)Write in the form [x y] the vector BC.
49. 13(c)(i)2 marks· Mathematics Q13 13(c)(i)Write QS as a column vector, in terms of a and b.
50. 13(d)(i)7 marks· Mathematics Q13 13(d)(i)Determine the position vector OM.
51. 13(i)3 marks· Mathematics Q13 13(i)Find \vec{OA} and \vec{BC}.