If a and b unequal unit vectors such that ( a - b ) [ b + a ) (2 a + b ]= a + b , then…

Mathematics · JEE Advanced · NTA Exams — Three Dimensional Geometry

If \(\stackrel{\rightharpoonup}{\mathrm{a}}\)and \(\overrightarrow{\mathrm{b}}\) unequal unit vectors such that
\((\vec{a}-\vec{b}) \times[\vec{b}+\vec{a}) \times(2 \vec{a}+\vec{b}]=\vec{a}+\vec{b},\) then angle θ between and \(\overrightarrow{\mathrm{b}}\) is

1. \(\frac{\pi}{2}\)
2. 0
3. π
4. \(\frac{\pi}{4}\)

Answer

(A) 2, (C) π

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