Cambridge Assessment International Education · Cambridge O Level

4037 Additional Mathematics

Paper 1 · Variant 1

May/June 2025 · Component 11

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Question

5 marks

(a)

Two vectors satisfy

P Q = (- 3 7)

and

4 P R = (- 2 8)

. Work out the vector

R Q

(b)

Let

a = α i + 6 j

b = 4 i + β j

and

c = (2 α + 5 β) i + 20 j

, where

α

and

β

are scalar constants. Given that

c = 3 a - 2 b

, determine the value of

α

and the value of

β

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