If $\theta$ is the angle between two vectors $\vec a$ and $\vec b$, then $\vec a \cdot \vec b \ge 0$ only
• $0 < \theta < \cfrac{\pi }{2}$
• $0 \le \theta \le \cfrac{\pi }{2}$
• $0 < \theta < \pi$
• $0 \le \theta \le \pi$
If $\theta$ is the angle between two vectors $\vec a$ and $\vec b$, then $\vec a \cdot \vec b \ge 0$ only
• $0 < \theta < \cfrac{\pi }{2}$
• $0 \le \theta \le \cfrac{\pi }{2}$
• $0 < \theta < \pi$
• $0 \le \theta \le \pi$
Official Solution
{Correct Option is b}
(B) $\vec a \cdot \vec b \ge 0 \Rightarrow \left| {\vec a} \right|\left| {\vec b} \right|\cos \theta \ge 0 \Rightarrow \cos \theta \ge 0$
$\Rightarrow$ $0 \le \theta \le \cfrac{\pi }{2}$
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