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CG PET Linear Dependence — practice questions

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

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Linear Dependence questions and exercises with answers

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Vectors $\vec a = \hat i - 2\hat j + 3\hat k$ and $\vec b = 3\hat i - 6\hat j + 9\hat k$ are:Read the answer and worked solution →

Worked practice questions

Vectors $\vec a = \hat i - 2\hat j + 3\hat k$ and $\vec b = 3\hat i - 6\hat j + 9\hat k$ are:

  1. Perpendicular
  2. Equal
  3. Linearly independent (non-collinear)
  4. Linearly dependent (collinear)
Show answer and solution

Correct answer: D. Linearly dependent (collinear)

$\vec b = 3\vec a$, so $\vec b$ is a scalar multiple of $\vec a$. They are linearly dependent, i.e. collinear.

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