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Vector Algebra — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsVector Algebra1 Mark
Question
If $\theta $ is the angle between two vectors$\;\vec a\;$and $\vec b$, then $\vec a.\vec b \geq 0$ only when
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Answer

$\vec a.\vec b=|\vec a||\vec b|cos\theta$,
Also, $\vec a .\vec b \geq 0$
$\Rightarrow |\vec a||\vec b|cos\theta \Rightarrow cos\theta\leq 0\Rightarrow 0\leq\theta\leq\frac{\pi}{2}$

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