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λ के किस मान के लिए सदिश \(\overrightarrow{a}\) तथा \(\overrightarrow{b}\) परस्पर लम्बवत् है

(i) \(\overrightarrow{a}\) = \(2\hat{i}+λ\hat{j}+\hat{k}\)\(\overrightarrow{b}\) =  \(4\hat{i}-2\hat{j}-2\hat{k}\) 

(i) \(\overrightarrow{a}\) = \(2\hat{i}+3\hat{j}+4\hat{k}\)\(\overrightarrow{b}\) =  \(3\hat{i}+2\hat{j}-λ\hat{k}\) 

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(i) ∵ सदिश

अतः λ = 3 के लिए दिए गए सदिश परस्पर लम्बवत् है।

(ii) ∵ सदिश

तथा सदिश

परस्पर लम्बवत् है, तब

अतः λ = 3 के लिए दिए गए सदिश परस्पर लम्बवत् है।

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