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Given that \(q = 9i + 6j\) and \(r = 4i - 6j\), which of...

Further Mathematics
WAEC 2011

Given that \(q = 9i + 6j\) and \(r = 4i - 6j\), which of the following statements is true?

  • A. r and q are collinear
  • B. r and q are perpendicular
  • C. The magnitude of r is 52 units
  • D. The projection of r on q is \(\sqrt{117}\) units.
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Correct Answer: Option B
Explanation

The dot product of two perpendicular forces = 0

\((9i + 6j).(4i - 6j) = 36 - 36 = 0\)

Hence, r and q are perpendicular.


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Project Topics and Materials, Post-UTME past questions - Download now or upload yours to get paid
NECO June/July 2024 - Get offline past questions & answers - Download objective & theory, all in one app 48789
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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Project Topics and Materials, Post-UTME past questions - Download now or upload yours to get paid
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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts