Question types

सदिश बीजगणित question types

44 questions across 3 question groups — pick any mix to generate a गणित paper with step-by-step answer keys.

44
Questions
3
Question groups
5
Question types
Sample Questions

सदिश बीजगणित questions

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

Q 1MCQ [1M]1 Mark
मान लीजिए कि दो सदिश $\vec{a}$ तथा $\vec{b}$ इस प्रकार हैं कि $|\vec{a}|=3,|\vec{b}|=\frac{\sqrt{2}}{3}$ तब $\vec{a} \times \vec{b}$ एक मात्रक सदिश यदि $\vec{a}$ तथा $\vec{b}$ के मध्य कोण है-
  • A
    $\frac{\pi}{6}$
  • B
    $\frac{\pi}{2}$
  • $\frac{\pi}{4}$
  • D
    $\frac{\pi}{3}$

Answer: C.

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Q 2MCQ [1M]1 Mark
यदि दो सदिश $\vec{a}$ तथा $\vec{b}$ के परिमाण क्रमशः $\sqrt{3}$ व 2 हैं और $\vec{a} \cdot \vec{b}=\sqrt{6}$ हो, तो $\vec{a}$ तथा $\vec{b}$ के बीच का कोण है-
  • A
    $\frac{\pi}{2}$
  • B
    $\frac{\pi}{3}$
  • C
    $\frac{\pi}{6}$
  • $\frac{\pi}{4}$

Answer: D.

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Q 3MCQ [1M]1 Mark
$\hat{i} \cdot(\hat{j} \times \hat{k})+\hat{j} \cdot(\hat{i} \times \hat{k})+k \cdot(\hat{i} \times \hat{j})$ का मान है-
  • A
    $0$
  • B
    $-1$
  • 1
  • D
    3

Answer: C.

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Q 4MCQ [1M]1 Mark
सदिश $\frac{1}{\sqrt{3}} \hat{i}+\frac{1}{\sqrt{3}} \hat{j}-\frac{1}{\sqrt{3}} \hat{k}$ का परिमाण है-
  • A
    3
  • 1
  • C
    $-1$
  • D
    2

Answer: B.

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Q 5MCQ [1M]1 Mark
सदिश $\vec{a}=-2 \hat{i}+3 \hat{j}-\hat{k}$ के अनुदिश मात्रक (इकाई) सदिश है-
  • A
    $\frac{2 \hat{i}}{\sqrt{14}}-\frac{3 \hat{j}}{\sqrt{14}}+\frac{\hat{k}}{\sqrt{14}}$
  • B
    $\frac{2 \hat{i}}{\sqrt{14}}-\frac{3 \hat{j}}{\sqrt{14}}-\frac{\hat{k}}{\sqrt{14}}$
  • C
    $\frac{2 \hat{i}}{\sqrt{14}}+\frac{3 \hat{j}}{\sqrt{14}}-\frac{\hat{k}}{\sqrt{14}}$
  • D
    $\frac{-2 \hat{i}}{\sqrt{14}}+\frac{3 \hat{j}}{\sqrt{14}}-\frac{\hat{k}}{\sqrt{14}}$
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