TS EAMCET · Maths · Vector Algebra
For any vector \(\mathbf{r}\) \(\mathbf{i} \times(\mathbf{r} \times \mathbf{i})+\mathbf{j} \times(\mathbf{r} \times \mathbf{j})+\mathbf{k} \times(\mathbf{r} \times \mathbf{k})\) is equal to
- A 0
- B \(2 \mathrm{r}\)
- C \(3 \mathrm{r}\)
- D \(4 \mathrm{r}\)
Answer & Solution
Correct Answer
(B) \(2 \mathrm{r}\)
Step-by-step Solution
Detailed explanation
Now, \(\mathbf{i} \times(\mathbf{r} \times \mathbf{i})\) \(\begin{aligned} & =(\mathbf{i} \cdot \mathbf{i}) \mathbf{r}-(\mathbf{i} \cdot \mathbf{r}) \mathbf{i} \\ & =\mathbf{r}-r_1 \mathbf{i} \end{aligned}\)…
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