Question types

3.1 vectors question types

332 questions across 1 question group — pick any mix to generate a Physics paper with step-by-step answer keys.

332
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1
Question groups
5
Question types
Sample Questions

3.1 vectors questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

If $\overrightarrow{ F }=2 \hat{ i }+\hat{ j }-\hat{ k }$ and $\overrightarrow{ r }=3 \hat{ i }+2 \hat{ j }-2 \hat{ k }$, then the scalar and vector products of $\overrightarrow{ F }$ and $\overrightarrow{ r }$ have the magnitudes respectively as
  • A
    $5, \sqrt{3}$
  • B
    $4, \sqrt{5}$
  • $10, \sqrt{2}$
  • D
    $10,2$

Answer: C.

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The angle between $(\overrightarrow A - \overrightarrow B )$ and $(\overrightarrow A \times \overrightarrow B )$ is $(\overrightarrow{ A } \neq \overrightarrow{ B })$
  • A
    $120$
  • B
    $45$
  • $90$
  • D
    $60$

Answer: C.

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If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vectors, the angle between these vectors is ........ $^o$
  • $90$
  • B
    $120$
  • C
    $45$
  • D
    $60$

Answer: A.

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Two adjacent sides of a parallelogram are represented by the two vectors $\hat i + 2\hat j + 3\hat k$ and $3\hat i - 2\hat j + \hat k$. What is the area of parallelogram
  • A
    $8$
  • $8\sqrt 3 $
  • C
    $3\sqrt 8 $
  • D
    $192$

Answer: B.

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The position vectors of radius are $2\hat i + \hat j + \hat k$ and $2\hat i - 3\hat j + \hat k$ while those of linear momentum are $2\hat i + 3\hat j - \hat k.$ Then the angular momentum is
  • A
    $2\hat i - 4\hat k$
  • $4\hat i - 8\hat k$
  • C
    $2\hat i - 4\hat j + 2\hat k$
  • D
    $4\hat i - 8\hat j$

Answer: B.

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