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

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

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

The number of distinct values of lamda , for which the vectors -lamda^(2)hati+hatj+hatk, hati-lamda^(2)hatj+hatk and hati+hatj-lamda^(2)hatk are coplanar, is

Find the value of lamda so that the two vectors 2hati+3hatj-hatk and -4hati-6hatj+lamda hatk are parallel

Find the value of lamda so that the two vectors 2hati+3hatj-hatk and -4hati-6hatj+lamda hatk are Perpendicular to each other

Find the value of 'm' for which the line vec(r) = ( hati + 2 hatk ) + lambda (2 hati - m hatj - 3 hatk) is parallel to the plane vec(r).(m hati + 3 hatj + hatk ) = 4.

Find the value of lamda such that the vectors veca=2hati+lamdahatj+hatkandvecb=hati+2hatj+3hatk are orthogonal.

The value(s) of mu for which the straight lines vecr=3hati-2hatj-4hatk+lambda_(1)(hati-hatj+mu hatk) and vec r=5hati-2hatj+hatk+lambda_(2)(hati+mu hatj+2hatk) are coplanar is/are :

The value of lamda for which the four points 2hati+3hatj-hatk,hati+2hatj+3hatk,3hati+4hatj-2hatk and hati-lamdahatj+6hatk are coplanar.