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Question: Answered & Verified by Expert
If the vectors $(2 \hat{\imath}-q \hat{\jmath}+3 \hat{k})$ and $(4 \hat{\imath}-5 \hat{\jmath}+6 \hat{k})$ are collinear, then the value
of $q$ is
MathematicsThree Dimensional GeometryMHT CETMHT CET 2020 (14 Oct Shift 1)
Options:
  • A $\frac{5}{2}$
  • B $\frac{-5}{2}$
  • C $\frac{-2}{5}$
  • D $\frac{2}{5}$
Solution:
1646 Upvotes Verified Answer
The correct answer is: $\frac{5}{2}$
Given vector are collinear
$$
\begin{array}{l}
\therefore \frac{2}{4}=\frac{-q}{-5}=\frac{3}{6} \\
\therefore q=\frac{5}{2}
\end{array}
$$

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