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2 marksSimplifying Vector Expressions

CSEC Mathematics · Question 10(b)(ii)

PQRS is a parallelogram where vector PQ = u and vector PS = v. M is a point on QS such that QM : MS = 1 : 2.

Show that vector MR = 1/3(u + 2v).

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Other parts of this question

  1. 10(a)(i)Determine the values of p and q.[2 marks]
  2. 10(a)(ii)Describe fully the transformation, M.[3 marks]
  3. 10(b)(i)a)Write in terms of u and v an expression for vector QS.[1 mark]
  4. 10(b)(i)b)Write in terms of u and v an expression for vector QM.[1 mark]
  5. 10(b)(iii)Prove that R, M and T are collinear.[3 marks]

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