1.

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

Answer»

`(- 3, 2)`
`(2, - 3)`
`(- 2, 3)`
`(3, - 2)`

Solution :Conditionfororthogonala.c =0
` ( 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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