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a) Show that \( 2\tan^{-1}(\frac{1}{2}) + \tan^{-1}(\frac{1}{7}) = \tan^{-1}(\frac{31}{17}) \) b) Find \( \vec{a} \times \vec{b} if \vec{a} =…

Class 12 Mathematics · 2080 · Solved Question with Answer

a) Show that\( 2\tan^{-1}(\frac{1}{2}) + \tan^{-1}(\frac{1}{7}) = \tan^{-1}(\frac{31}{17}) \)

 b) Find \( \vec{a} \times \vec{b} if \vec{a} = 2\vec{i} + \vec{k} and \vec{b} = \vec{i} + \vec{j} + \vec{k} \)

Solution

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