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If the vectors a=hati-hatj+2hatk, b=2hati+4hatj+hatk and c=lambdahati+hatj+muhatk are mutually orthogonal, then (lambda, mu) is equal to |
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Answer» `(- 3, 2)` ` ( hati- hatj +2HATK ).(LAMDA hati +hatj +MU hatk )=0` `implies lamda -1+2 mu =0` `implies lamda +2 mu =1` `b.c=0` ` implies 2 lamda +4+mu =0` `implies2 lamda+mu =-4` on solvingEqs,(i) and (ii)we GET `lamda =- 3 , mu= 2 ` |
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