If the unit vectors e _ 1 and e _ 2 are inclined at an angle 2θ and | e _ 1 - e _ 2 |<1 …
Mathematics · JEE Advanced · NTA Exams — Three Dimensional Geometry
If the unit vectors \(\overrightarrow{\mathrm{e}}_{1} \text { and } \overrightarrow{\mathrm{e}}_{2}\) are inclined at an angle
2θ and \(\left|\overrightarrow{\mathrm{e}}_{1}-\overrightarrow{\mathrm{e}}_{2}\right|<1\), then for θ ∈ [0, π], θ may lie in the interval :
2θ and \(\left|\overrightarrow{\mathrm{e}}_{1}-\overrightarrow{\mathrm{e}}_{2}\right|<1\), then for θ ∈ [0, π], θ may lie in the interval :
- \(\left[0, \frac{\pi}{6}\right)\)
- \(\left[\frac{\pi}{6}, \frac{\pi}{2}\right]\)
- \(\left(\frac{5 \pi}{6}, \pi\right]\)
- \(\left[\frac{\pi}{2}, \frac{5 \pi}{6}\right]\)
Answer
(A) [0, 6 )
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