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NEET · Physics · STD 11 - 3.1 , vectors

यदि \(\vec{F}=2 \hat{i}+\hat{j}-\hat{k}\) एवं \(\overrightarrow{ r }=3 \hat{i}+2 \hat{j}-2 \hat{k}\), तो \(\overrightarrow{ F }\) एवं \(\overrightarrow{ r }\) के अदिश एवं सदिश गुणन के परिमाण क्रमशः हैं :

  1. A \(5, \sqrt{3}\)
  2. B \(4, \sqrt{5}\)
  3. C \(10, \sqrt{2}\)
  4. D \(10,2\)
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Answer & Solution

Correct Answer

(C) \(10, \sqrt{2}\)

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Detailed explanation

\(\overrightarrow{ F }=2 \hat{ i }+\hat{ j }-\hat{ k }\) \(\quad \overrightarrow{ r }=3 \hat{ i }+2 \hat{ j }-2 \hat{ k }\) \(\overrightarrow{ F } \cdot \overrightarrow{ r }=6+2+2=10\)
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