Find `lambda` and `mu` if : `(2hati+6hatj+27hatk)xx(hati+lambdahatj+muhatk)=vec0`.

Find the values of gamma and mu for which (2hati+6hatj+27hatk)xx(hati+gamma hatj+mu hatk)=vec0

Find the value of p if (2hati+6hatj+27hatk)xx(hati+3hatj+phatk)=vec0 .

Find the value of 'p' is : (2hati+6hatj+27hatk)xx(hati+3hatj+phatk)=vec0 .

The value of 'lambda' for which the two vectors : 2hati-hatj+2hatk and 3hati+lambdahatj+hatk are perpendicular is :