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Please Solve R.D.Sharma class 12 Chapter 25 Scalar Triple Product Exercise 25.1 Question 1 Sub Question 2  Maths textbook Solution.

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Answer :-  -1

Hint :- Use scalar triple product

Given:- \begin{aligned} &{[2 \hat{\imath} \hat{\jmath} \hat{k}]+[\hat{\imath} \hat{k} \hat{\jmath}]+[\hat{k} \hat{\jmath} 2 \hat{i}]} \\ \end{aligned}

\begin{aligned} &=(2 \hat{\imath} \times \hat{\jmath}) \cdot \hat{k}+(\hat{\imath} \times \hat{k}) \cdot \hat{\jmath}+(\hat{k} \times \hat{\jmath}) \cdot 2 \hat{i} \\ &=2(\hat{k}) \cdot \hat{k}+(-\hat{\jmath}) \cdot \hat{\jmath}+(-\hat{\imath}) \cdot 2 \hat{\imath} \\ &=2(1)+(-1)+(-2) \\ &=2-1-2 \\ &=-1 \end{aligned}

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