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Find the value of lambda for which the l...

Find the value of `lambda` for which the line `(x-1)/2=(y-1)/3=(z-1)/lambda` is parallel to the plane `vecr.(2hati+3hatj+4hatk)=4`.

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The value of lambda for which the plane vecr*(2hati-2hatj+4hatk)=5 is perpendicular to vecr*(3hati-3hatj+lambdahatk)=7 is :