Observe the following lists Then the correct match for List I from List II is A B C D

Observe the following lists
Then the correct match for List I from List II is A B C D
  1. 1 2 3 4
  2. 3 5 2 1
  3. 3 5 5 1
  4. 3 5 5 1

Solution

(A) $[\mathbf{a} \mathbf{b} \mathbf{c}]=\mathbf{a} \cdot \mathbf{b} \times \mathbf{c}$ (B) $(\mathbf{c} \times \mathbf{a}) \times \mathbf{b}=(\mathbf{b} \cdot \mathbf{c}) \mathbf{a}-(\mathbf{a} \cdot \mathbf{b}) \mathbf{c}$ (C) $\mathbf{a} \times(\mathbf{b} \times \mathbf{c})=(\mathbf{a} \cdot \mathbf{c}) \mathbf{b}-(\mathbf{a} \cdot \mathbf{b}) \mathbf{c}$ (D) $\mathbf{a} \cdot \mathbf{b}=|\mathbf{a}||\mathbf{b}| \cos (\mathbf{a} \cdot \mathbf{b})$ $\therefore$ Option (b) is correct.

Asked in: AP EAMCET 2005

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