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PUCET (Punjab) Algebra of Vectors — practice questions

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

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Algebra of Vectors questions and exercises with answers

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If $\vec a = 4\hat i + 3\hat k$ and $\vec b = -2\hat i + \hat j + 5\hat k$, then $2\vec a + 5\vec b$ equals:Read the answer and worked solution →

Worked practice questions

If $\vec a = 4\hat i + 3\hat k$ and $\vec b = -2\hat i + \hat j + 5\hat k$, then $2\vec a + 5\vec b$ equals:

  1. $-2\hat i + 5\hat j + 31\hat k$
  2. $18\hat i + 5\hat j + 31\hat k$
  3. $2\hat i + 5\hat j - 31\hat k$
  4. $-2\hat i + \hat j + 8\hat k$
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Correct answer: A. $-2\hat i + 5\hat j + 31\hat k$

$2\vec a = 8\hat i + 6\hat k$ $5\vec b = -10\hat i + 5\hat j + 25\hat k$. **Sum:** $-2\hat i + 5\hat j + 31\hat k$.

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