Find the values of `lambda and mu` for which `(2hat(i)+6hat(j)+27hat(k))times(hat(i)+lambdahat(j)+muhat(k))=0`

Find lambda + mu if (2hat(i) + 6hat(j) + 27 hat(k)) xx (hat(i) + lambda hat(j) + mu hat(k)) = vec(0) .

Find lambda and mu if (2 hat i+6 hat j+27 hat k)xx( hat i+lambda hat j+mu hat k)= hat0dot

Find lambda and mu if (2 hat i+6 hat j+27 hat k)xx( hat i+lambda hat j+mu hat k)= vec 0 .

The value of lambda for which the vectors 2 hat(i) + lambda hat(j) + hat(k) and hat(i) + 2 hat(j) + 3 hat(k) are perpendicular is

Find the value of lamda , if the points with position vectors 3hat(i)- 2hat(j)- hat(k), 2hat(i) + 3hat(j)- 4hat(k), -hat(i) + hat(j) + 2hat(k), 4hat(i) + 5hat(j) + lamda hat(k) are coplanar.

The value of lambda for which the vector 3 hat (i) -6 hat(j) + hat(k) and 2 hat(i) - 4 hat(j) + lambda vec(k) are parallel is

The sum of the distinct real values of μ for which the vectors, muhat(i)+hat(j)+hat(k),hat(i)+muhat(j)+hat(k),hat(i)+hat(j)+muhat(k) are co-planar is :

Find lambda if (2 hat i+6 hat j+14 hat k)xx\ ( hat i-\ lambda hat j+7 hat k)= vec0

Vector vec(A)=hat(i)+hat(j)-2hat(k) and vec(B)=3hat(i)+3hat(j)-6hat(k) are :

The value of (hat(k) xx hat(j)). hat(i) + hat(j).hat(k) =