Let \(\mathbf{a}, \mathbf{b}, \mathbf{c}\) be three vectors (i) \((\mathbf{a} \times \mathbf{b}) \times…

Let \(\mathbf{a}, \mathbf{b}, \mathbf{c}\) be three vectors (i) \((\mathbf{a} \times \mathbf{b}) \times \mathbf{c}=(\mathbf{a} \cdot \mathbf{c}) \mathbf{b}-(\mathbf{b} \cdot \mathbf{c}) \mathbf{a}\) (ii) \(\mathbf{( a )} \times(\mathbf{b} \times \mathbf{c})=(\mathbf{a} \cdot \mathbf{b}) \mathbf{c}-(\mathbf{a} \cdot \mathbf{c}) \mathbf{b}\)
  1. (i) is incorrect, (ii) is correct
  2. (i) is correct, (ii) is incorrect
  3. Both (i) and (ii) are correct
  4. Both (i) and (ii) are incorrect

Solution

(i) is correct and (ii) is incorrect.

Asked in: AP EAMCET 2020 (17 Sep Shift 1)

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