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  • Need solution for rd sharma maths class 12 chapter 24 vector or cross product Exercises Multiple choice questions question 9 maths textbook solution

Need solution for rd sharma maths class 12 chapter 24 vector or cross product Exercises Multiple choice questions question 9 maths textbook solution

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Answer: 10\hat{i}+3\hat{j}+11\hat{k}

Given: \overrightarrow{a}=2\hat{i}-3\hat{j}-\hat{k} ; \overrightarrow{b}=\hat{i}+4\hat{j}-2\hat{k}                                         

Hint: You must know about cross product

Explanation:  \overrightarrow{a}=2\hat{i}-3\hat{j}-\hat{k} ; \overrightarrow{b}=\hat{i}+4\hat{j}-2\hat{k}

              Then,

                             \begin{aligned} &\vec{a} \times \vec{b}=\left|\begin{array}{ccc} \hat{i} & \hat{j} & \hat{k} \\ 2 & -3 & -1 \\ 1 & 4 & -2 \end{array}\right| \\ &=\hat{i}(6+4)-\hat{j}(-4+1)+\hat{k}(8+3) \\ &=10 \hat{i}+3 \hat{j}+11 \hat{k} \end{aligned}

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