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Mathematics (AS & A Level) · May / June 2019 · Paper 13 · Question 6

9709

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The question as text

k i j M N A B C D E F 2 4 4 7 8 The diagram shows a solid figure ABCDEF in which the horizontal base ABC is a triangle right-angled at A. The lengths of AB and AC are 8 units and 4 units respectively and M is the mid-point of AB. The point D is 7 units vertically above A. Triangle DEF lies in a horizontal plane with DE, DF and FE parallel to AB, AC and CB respectively and N is the mid-point of FE. The lengths of DE and DF are 4 units and 2 units respectively. Unit vectors i, j and k are parallel to −−→ AB, −−→ AC and −−→ AD respectively. −−−→

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  • 6(i)[1]

  • 6(ii)[1]

  • 6(iii)[1]

  • 6(iv)[4]

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