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  • Please solve RD Sharma Class 12 Chapter 24 Vector or Cross Product Exercise Very Short Answer Question, question 4  Maths textbook solution.

Please solve RD Sharma Class 12 Chapter 24 Vector or Cross Product Exercise Very Short Answer Question, question 4  Maths textbook solution.

Answers (1)

ANSWER:

    3

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:

  We know,

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

Putting values in equation

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

=3              

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