May/June 2026 Paper 32

2026 · 10 questions · 20 parts · 75 marks

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3(a)3(b)

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Context for question 9

The points

A

and

B

have position vectors

341

and

431

respectively. The line

m

passes through the points

A

and

B

9(a)Three Dimensional VectorsEasy2 marks

Find a vector equation for

m

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9(b)Three Dimensional VectorsMedium4 marks

r = 6 - 1 - 3 + μ 1 - 1 - 2

The line

l

has the equation given above. Determine whether the lines

l

and

m

are parallel, intersect or are skew.

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Conclusion

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9(c)Three Dimensional VectorsHard6 marks

The point

P

lies on

l

and is such that angle

P A B = 60°

. Find the position vector of

P

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