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  • Please solve RD Sharma Class 12 Chapter 24 Vector or Cross Product Exercise Very Short Answer Question, question 5 Maths textbook solution.

Please solve RD Sharma Class 12 Chapter 24 Vector or Cross Product Exercise Very Short Answer Question, question 5 Maths textbook solution.

Answers (1)

ANSWER:

  0

HINT:

 Simplify and use  formula for cross product.

GIVEN:

SOLUTION:

\begin{aligned} \Rightarrow & \hat{i} \times(\hat{j}+\hat{k})+\hat{j} \times(\hat{k}+\hat{i})+\hat{k} \times(\hat{i}+\hat{j}) \\ &=(\hat{i} \times \hat{j})+(\hat{i} \times \hat{k})+(\hat{j} \times \hat{k})+(\hat{j} \times \hat{i})+(\hat{k} \times \hat{i})+(\hat{k} \times \hat{j}) \\ &=\hat{k}+(-\hat{j})+(\hat{i})+(-\hat{k})+(\hat{j})+(-\hat{i}) \\ &=0 \end{aligned}

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