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If vectors $2\hat i - q\hat j + 3\hat k$ and $4\hat i - 5\hat j + 6\hat k$ are collinear, then $q$ equals:

A$5/2$
B$5$
C$2$
D$10$
Answer & Solution
Correct answer: A. $5/2$
Collinear ⇒ components proportional: $2/4 = -q/-5 = 3/6$. From $2/4 = 1/2$ and $q/5 = 1/2$, we get $q = 5/2$.
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