AP EAMCET · Maths · Vector Algebra
If \(\vec{a}, \vec{b}, \vec{c}\) are unit vectors such that \(\vec{a} \cdot \vec{b}=\vec{a} \cdot \vec{c}=0\) and the angle between \(\vec{b}\) and \(\vec{c}\) is \(\pi / 3\), then \(\vec{a}\) is equal to
- A \(2(\vec{b} \times \vec{c})\) only
- B \(-2(\vec{b} \times \vec{c})\) only
- C \(\pm \frac{2}{\sqrt{3}}(\vec{b} \times \vec{c})\)
- D \(\pm 2(\vec{b} \times \vec{c})\)
Answer & Solution
Correct Answer
(C) \(\pm \frac{2}{\sqrt{3}}(\vec{b} \times \vec{c})\)
Step-by-step Solution
Detailed explanation
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