Question

If the unit vectors $\overrightarrow{a}$ and $\overrightarrow{b}$ are inclined at an angle $2\overrightarrow{\theta }$ such that $|\overrightarrow{a}-\overrightarrow{b}|<1$ and $<\theta <\pi$. then $\theta$ lies in the interval

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

Answer 1

Answer: (A), (B)

The correct options are
A $[0,\frac{\pi }{6})$
B $(\frac{5\pi }{6},\pi ]$