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Simplifying Vector Expressions · CSEC Mathematics

74 past-paper questions on Simplifying Vector Expressions, part of VECTORS AND MATRICES, from every CSEC Mathematics paper on Quelpr.

Practise Simplifying Vector Expressions
  1. 13(a)(i)2 marks· CSEC Mathematics · 2003 (Specimen) · Paper 2Determine \vec{AC}.
  2. 13(b)(i) a)1 mark· CSEC Mathematics · 2003 (Specimen) · Paper 2Express \vec{OR} in its simplest form in terms of \mathbf{u} and/or \mathbf{v}.
  3. 13(b)(i) b)1 mark· CSEC Mathematics · 2003 (Specimen) · Paper 2Express \vec{OS} in its simplest form in terms of \mathbf{u} and/or \mathbf{v}.
  4. 13(b)(i) c)1 mark· CSEC Mathematics · 2003 (Specimen) · Paper 2Express \vec{QP} in its simplest form in terms of \mathbf{u} and/or \mathbf{v}.
  5. 13(b)(i) d)2 marks· CSEC Mathematics · 2003 (Specimen) · Paper 2Express \vec{SR} in its simplest form in terms of \mathbf{u} and/or \mathbf{v}.
  6. 13(b)(i) e)2 marks· CSEC Mathematics · 2003 (Specimen) · Paper 2Express \vec{OT} in its simplest form in terms of \mathbf{u} and/or \mathbf{v}.
  7. 13(b)(i) f)1 mark· CSEC Mathematics · 2003 (Specimen) · Paper 2Express \vec{ST} in its simplest form in terms of \mathbf{u} and/or \mathbf{v}.
  8. 10(c)(i)1 mark· CSEC Mathematics · 2022 · Paper 2Express \vec{BX} in terms of u and v.
  9. 10(c)(ii)a)1 mark· CSEC Mathematics · 2022 · Paper 2Express \vec{BM} in terms of u and v.
  10. 10(b)(i)1 mark· Mathematics Q10 10(b)(i)Express the vector AB in the form [a; b].
  11. 10(b)(i)a)1 mark· Mathematics Q10 10(b)(i)a)Write in terms of u and v an expression for vector QS.
  12. 10(b)(i)b)1 mark· Mathematics Q10 10(b)(i)b)Write in terms of u and v an expression for vector QM.
  13. 10(b)(ii)2 marks· Mathematics Q10 10(b)(ii)Show that vector MR = 1/3(u + 2v).
  14. 10(b)(ii)2 marks· Mathematics Q10 10(b)(ii)Express the vector OD in the form [a; b].
  15. 10(b)(ii)1 mark· Mathematics Q10 10(b)(ii)Express vector BC in terms of m and n.
  16. 10(b)(iii)2 marks· Mathematics Q10 10(b)(iii)Express the vector BE in the form [a; b].
  17. 10(b)(iii)2 marks· Mathematics Q10 10(b)(iii)L is the midpoint of CD. Find vector BL in terms of m and n.
  18. 11(a)(i)2 marks· Mathematics Q11 11(a)(i)Determine the vector OQ.
  19. 11(a)(i)a)2 marks· Mathematics Q11 11(a)(i)a)Express in terms of a and b the vector AB.
  20. 11(a)(i)b)2 marks· Mathematics Q11 11(a)(i)b)Express in terms of a and b the vector PQ.
  21. 11(a)(i)c)2 marks· Mathematics Q11 11(a)(i)c)Write as a column vector, in the form (x, y), BA.
  22. 11(a)(ii)a)1 mark· Mathematics Q11 11(a)(ii)a)Write as a column vector in the form (x, y), BG.
  23. 11(a)(ii)b)1 mark· Mathematics Q11 11(a)(ii)b)Write as a column vector in the form (x, y), OG.
  24. 11(b)(i)1 mark· Mathematics Q11 11(b)(i)Express XZ in terms of a and b.
  25. 11(b)(i)b)1 mark· Mathematics Q11 11(b)(i)b)Write in the form [[a], [b]] the vector OR.
  26. 11(b)(ii)3 marks· Mathematics Q11 11(b)(ii)Express MY in terms of a and b.
  27. 11(b)(ii)a)3 marks· Mathematics Q11 11(b)(ii)a)Write in terms of m and n an expression for MN.
  28. 11(b)(ii)a)4 marks· Mathematics Q11 11(b)(ii)a)Write, in terms of u and v, an expression for vector JK
  29. 11(b)(ii)a)5 marks· Mathematics Q11 11(b)(ii)a)Find RS.
  30. 11(b)(ii)b)3 marks· Mathematics Q11 11(b)(ii)b)Write in terms of m and n an expression for ML.
  31. 11(b)(ii)b)4 marks· Mathematics Q11 11(b)(ii)b)Write, in terms of u and v, an expression for vector MN
  32. 11(b)(ii)c)4 marks· Mathematics Q11 11(b)(ii)c)Write, in terms of u and v, an expression for vector KL.
  33. 11(b)(iii)2 marks· Mathematics Q11 11(b)(iii)Write as a column vector in the form (x y): SR
  34. 11(c)(i)a)5 marks· Mathematics Q11 11(c)(i)a)Write in terms of a and b, an expression for WY.
  35. 11(c)(i)b)5 marks· Mathematics Q11 11(c)(i)b)Write in terms of a and b, an expression for WS.
  36. 11(c)(i)c)5 marks· Mathematics Q11 11(c)(i)c)Write in terms of a and b, an expression for SX.
  37. 11(c)(ii)2 marks· Mathematics Q11 11(c)(ii)Express in the form [x, y], vector PQ.
  38. 11(c)(ii)c)2 marks· Mathematics Q11 11(c)(ii)c)Write PQ in the form [a, b].
  39. 11(c)(iii)2 marks· Mathematics Q11 11(c)(iii)Express in the form [x, y], vector RS.
  40. 13(a)(i)3 marks· Mathematics Q13 13(a)(i)Calculate PQ, writing your answer in the form [x, y].
  41. 13(a)(i)5 marks· Mathematics Q13 13(a)(i)Express in terms of x and y: AB
  42. 13(a)(i)b)3 marks· Mathematics Q13 13(a)(i)b)Express the vector OA + OB in the form [a b].
  43. 13(a)(ii)1 mark· Mathematics Q13 13(a)(ii)Express in terms of x and y: BD
  44. 13(a)(ii)2 marks· Mathematics Q13 13(a)(ii)Copy and complete the diagram to show the vector u where u = OA + OC.
  45. 13(a)(ii)a)1 mark· Mathematics Q13 13(a)(ii)a)Write, in terms of x and y, an expression for vector AC.
  46. 13(a)(ii)b)2 marks· Mathematics Q13 13(a)(ii)b)Write, in terms of x and y, an expression for vector PQ.
  47. 13(a)(iii)1 mark· Mathematics Q13 13(a)(iii)Express in terms of x and y: DP
  48. 13(b)2 marks· Mathematics Q13 13(b)Show that AP = x - 2y.
  49. 13(b)(i)8 marks· Mathematics Q13 13(b)(i)Write down, in terms of k and m, the vector MK.
  50. 13(b)(i)2 marks· Mathematics Q13 13(b)(i)Write OM in terms of r and s.
  51. 13(b)(i)2 marks· Mathematics Q13 13(b)(i)Express CF in terms of a and b in simplified form.
  52. 13(b)(i)2 marks· Mathematics Q13 13(b)(i)Write as a column vector, in the form (x y): BA.
  53. 13(b)(i)a)6 marks· Mathematics Q13 13(b)(i)a)Write in terms of a and b the vector AB.
  54. 13(b)(i)a)1 mark· Mathematics Q13 13(b)(i)a)Write an expression for vector HF in terms of u and/or v.
  55. 13(b)(i)b)6 marks· Mathematics Q13 13(b)(i)b)Write in terms of a and b the vector AC.
  56. 13(b)(i)b)2 marks· Mathematics Q13 13(b)(i)b)Write an expression for vector MF in terms of u and/or v.
  57. 13(b)(i)c)6 marks· Mathematics Q13 13(b)(i)c)Write in terms of a and b the vector DC.
  58. 13(b)(i)c)2 marks· Mathematics Q13 13(b)(i)c)Write an expression for vector OH in terms of u and/or v.
  59. 13(b)(i)d)6 marks· Mathematics Q13 13(b)(i)d)Write in terms of a and b the vector DX.
  60. 13(b)(ii)5 marks· Mathematics Q13 13(b)(ii)Express in terms of a and b the vectors AB, PA and PM.
  61. 13(b)(ii)1 mark· Mathematics Q13 13(b)(ii)Write down, in terms of k and m, the vector RM.
  62. 13(b)(ii)2 marks· Mathematics Q13 13(b)(ii)Express CE in terms of a and b in simplified form.
  63. 13(b)(ii)3 marks· Mathematics Q13 13(b)(ii)Write PX in terms of r and s.
  64. 13(b)(ii)2 marks· Mathematics Q13 13(b)(ii)Write as a column vector, in the form (x y): AC in terms of p.
  65. 13(b)(ii)2 marks· Mathematics Q13 13(b)(ii)Show that vector OG = (3/5)(2v + u).
  66. 13(b)(iii)1 mark· Mathematics Q13 13(b)(iii)Write down, in terms of k and m, the vector KS.
  67. 13(b)(iii)4 marks· Mathematics Q13 13(b)(iii)Write QM in terms of r and s.
  68. 13(b)(iii)2 marks· Mathematics Q13 13(b)(iii)Write as a column vector, in the form [x y], the vector AC.
  69. 13(b)(iii)2 marks· Mathematics Q13 13(b)(iii)Express CM in terms of a and b in simplified form.
  70. 13(b)(iv)1 mark· Mathematics Q13 13(b)(iv)Write down, in terms of k and m, the vector RS.
  71. 13(b)(iv)3 marks· Mathematics Q13 13(b)(iv)Express MG in terms of a, b, and k.
  72. 13(c)(ii)3 marks· Mathematics Q13 13(c)(ii)Given that QS = OP, calculate the value of a and the value of b.
  73. 13(ii)a)3 marks· Mathematics Q13 13(ii)a)Find \vec{AD}.
  74. 13(iv)3 marks· Mathematics Q13 13(iv)Find the position vector \vec{OF}.

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