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प्रश्न
Find λ and μ if
`(hati+3hatj+9k)xx(3hati-lambdahatj+muk)=0`
उत्तर
`(hati+3hatj+9k)xx(3hati-lambdahatj+muk)=0`
`|(hati,hatj,hatk),(1,3,9),(3,-lambda,mu)|=vec0`
`hati(3mu+9lambda)-hatj(mu-27)+hatk(-lambda-9)=vec0`
3μ + 9λ = 0 ...(1)
27 - μ = 0 ...(2)
-λ-9 = 0 ...(3)
by eqn (2) & (3) μ = 27 and λ = -9
So μ = 27, λ = -9
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