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  • Please solve RD Sharma Class 12 Chapter 24 Vector or Cross Product Exercise Very Short Answer Question, question 3 Maths textbook solution.

Please solve RD Sharma Class 12 Chapter 24 Vector or Cross Product Exercise Very Short Answer Question, question 3 Maths textbook solution.

Answers (1)

ANSWER:

  Value is 1.

HINT:

  Use the formula of dot and cross product.

GIVEN: 

\widehat{i \cdot(} \hat{j} \times \hat{k})+\hat{j} \cdot(\hat{k} \times \hat{i})+\hat{k} \cdot(\hat{j} \times \hat{i})

SOLUTION:

\widehat{i} \cdot( \hat{j} \times \hat{k})+\hat{j} \cdot(\hat{k} \times \hat{i})+\hat{k} \cdot(\hat{j} \times \hat{i})

 We know,

$$ \begin{aligned} &\hat{j} \times \hat{k}=\hat{i} \\ &\widehat{k} \times \hat{i}=\hat{j} \\ &\hat{j} \times \hat{i}=-\widehat{k} \end{aligned}

Putting values together

\hat{\mathrm{i}} \cdot \hat{\mathrm{i}}+\hat{\mathrm{j}} \cdot \hat{\mathrm{j}}+\hat{\mathrm{k}} \cdot(-\hat{\mathrm{k}})=1+1-1

=1                

Posted by

infoexpert24

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