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PUCET (Punjab) Collinearity — practice questions

Explore 1 free Collinearity questions in PUCET (Punjab) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Collinearity questions and exercises with answers

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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:Read the answer and worked solution →

Worked practice questions

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:

  1. $5/2$
  2. $5$
  3. $2$
  4. $10$
Show answer and 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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