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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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