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A-LevelFurther MathematicsVectors9231/12 · Oct/Nov 2019 · Q69 Marks

With O as the origin, the points A, B, C have position vectors i-j, 2i+j+7k, i-j+k respectively.

  1. (i)Find the shortest distance between the lines OC and AB.[5]
  2. (ii)Find the cartesian equation of the plane containing the line OC and the common perpendicular of the lines OC and AB.[4]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2019). The mark or mark type is shown in brackets.

  1. [B1]
  2. [M1 A1] Finds direction of common perpendicular.
  3. [M1 A1] Uses formula for shortest distance.
  4. [M1 A1] Finds normal to plane.
  5. [M1] Uses point on plane.
  6. [A1] AEF

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About this question

Topic
Vectors, A-Level Further Mathematics (syllabus 9231). Structured question, 9 marks.
Source
A-Level Further Mathematics, Oct/Nov 2019 Paper 1 Variant 2, question 6.

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