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If \(s = 3i - j\) and \(t = 2i + 3j\), find \((t -...

Further Mathematics
WAEC 2013

If \(s = 3i - j\) and \(t = 2i + 3j\), find \((t - 3s).(t + 3s)\).

  • A. -77
  • B. -71
  • C. -53
  • D. -41
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Correct Answer: Option A
Explanation

\(s = 3i - j; t = 2i + 3j\)

\( t - 3s = (2i + 3j) - 3(3i - j) = 2i + 3j - 9i + 3j = -7i + 6j\)

\(t + 3s = (2i + 3j) + 3(3i - j) = 2i + 3j + 9i - 3j = 11i\)

\((t - 3s).(t + 3s) = (-7i + 6j).(11i) = -77\)


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WAEC and NECO CBT App for Mobile Devices - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now
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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts