Question

If the unit vectors ${\overrightarrow{e}}_{1}and{\overrightarrow{e}}_2$ are inclined at an angle $2\theta and|{\overrightarrow{e}}_1-{\overrightarrow{e}}_2|<1$, then for $\theta \in [0,\pi ],\theta$ may lie in the interval

• A. $[0,\frac{\pi }{6}]$
• B. $[\frac{\pi }{6},\frac{\pi }{2}]$
• C. $[\frac{5\pi }{6},\pi ]$
• D. $[\frac{\pi }{2},\frac{5\pi }{6}]$

Answer 1

The correct option is A $[0,\frac{\pi }{6}]$