Find the value of `lambda` in the unit vector `0.4 hati + 0.8 hatj + lambda hatk`.

Find the value of lambda for which the vectors veca = 3hati + 2hatj + 9 hatk and vecb = hati + lambda hatj + 3hatk are orthogonal.

Find the value of lambda such that vectors veca = 2hati + lambda hatj + hatk and vecb = hati + 2hatj + 3hatk are orthogonal.

Find the value of lambda so that the vectors vec(A) = 2hati + lambda hatj +hatk and vec(B) = 4hati - 2hatj - 2hatk are perpendicular to each other.

Find the value of lambda . such that given vectors hati+hatj+3hatk , 2hati+lambdahatj+6hatk and 2hati-3hatj+hatk are coplaner.

Find the value of 'lambda' such that the vectors : 3hati+lambda hatj+5hatk, hati+2hatj-3hatk and 2hati-hatj+hatk are coplanar.

Find the value of lambda . such that given vectors hati+2hatj+3hatk , 3hati+lambdahatj+hatk and hati+2hatj+2hatk are coplaner.

Find the value of lambda . such that given vectors 3hati+lambdahatj+5hatk , hati+2hatj-3hatk and 2hati-hatj+hatk are coplaner.

Find the value of lambda so that the three vectors are co-planar. hati+2hatj+3hatk, 4hati+hatj+lambdahatk and lambdahati-4hatj+hatk