a b are two given unit vectors at right angle. The unit vector equally inclined with a b…

Mathematics · JEE Advanced · NTA Exams — Three Dimensional Geometry

1. \(-\frac{1}{\sqrt{3}}(\hat{a}+\hat{b}+\hat{a} \times \hat{b})\)
2. \(\frac{1}{\sqrt{3}}(\hat{a}+\hat{b}+\hat{a} \times \hat{b})\)
3. \(\frac{1}{\sqrt{3}}(\hat{a}+\hat{b}-\hat{a} \times \hat{b})\)
4. \(-\frac{1}{\sqrt{3}}(\hat{a}+\hat{b}-\hat{a} \times \hat{b})\)

Answer

(A) - 1 3 ( a + b + a b ), (B) 1 3 ( a + b + a b )

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