class 12 maths vector algebra

If $\theta$ is the angle between two vectors $\vec a$ and $\vec b$, then $\vec a \cdot \vec b \ge 0$ only

• $0 < \theta < \cfrac{\pi }{2}$

• $0 \le \theta \le \cfrac{\pi }{2}$

• $0 < \theta < \pi$

• $0 \le \theta \le \pi$

VAVidaara Admin Asked 9d ago 0 views 0 answers
📘 Vector Algebra NCERT,Page 459,Misc,Q.No 16 SA

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

VVidaara Team ✓ Verified solution NCERT & Exemplar

{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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