Consider the following statements : I. \( \vec{a}, \vec{b}, \vec{c} \) are orthogonal in pairs. II. \( \vec{a}, \vec{b}, \vec{c} \) are unit vectors. Which of the statements given above is/are correct ?
For the next two (02) items that follow : Let \( \vec{a} \times \vec{b} = \vec{c} \) and \( \vec{b} \times \vec{c} = \vec{a} \)
- A. I only ✓
- B. II only
- C. Both I and II
- D. Neither I nor II
Correct Answer: A. I only
Explanation
From the cross product definitions, \vec{a}, \vec{b}, and \vec{c} are mutually orthogonal, so I is correct. While |\vec{b}| = 1 and |\vec{a}| = |\vec{c}|, they are not strictly required to be unit vectors, so II is false.
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