WAEC Further Mathematics 2013 Question 29

Question 29

Vectors

If s = 3i − j and t = 2i + 3j, find (t + 3s) · (t − 3s).

  1. A.−77
  2. B.−71
  3. C.−53
  4. D.−41
Show the answer and explanation

Answer: A (−77)

Explanation

t + 3s = 11i + 0j and t − 3s = −7i + 6j. Dot product = 11(−7) + 0(6) = −77.