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WAEC Further Mathematics 2025 Objective — Question 19

Question 19 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2025 Objective paper, with the correct answer and a full explanation.

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The dot product of p and q is 1 where p = 3/5 i + xj, q = -3/5 i + 4/7 j. Find the value of x.

  • A. 7/2Correct
  • B. 2/7
  • C. 7/4
  • D. 4/7

Explanation

p·q = (3/5)(-3/5) + x(4/7) = -9/25 + 4x/7 = 1. Solving for x gives x = 7/2.

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