Start learning →

CG PET Collinearity — practice questions

Explore 1 free Collinearity questions in CG PET Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

Practise Collinearity with Quill →

Collinearity questions and exercises with answers

Showing questions 1–1 of 1.

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 $q = 5/2$.

Open this question →

How to practise

  1. Choose a Collinearity question and try to work out your answer.
  2. Open the question to check the correct answer and read its worked solution.
  3. Continue in the app for bite-sized lessons, explanations and review with Quill. You can start without creating an account.

More Mathematics topics

SequencesProbability & StatisticsBinomial TheoremSequences and SeriesGeometryLinear ProgrammingLimits and ContinuityPermutations and Combinations