The value of `lambda` for two perpendicular vectors `vec(A)=2vec(i)+lambdavec(j)+vec(k)` and `vec(B)=4vec(i)-2vec(j)-2vec(k)` is :-

Find the angle between the vectors : vec(a)=3vec(i)-2vec(j)+vec(k) and vec(b)=vec(i)-2vec(j)-3vec(k)

Find a vector of magnitude and perpendicular to both the vectors vec(a)= 2vec(i)- 2vec(j) + vec(k) and vec(b)= 2vec(i) + 2vec(j) + 3vec(k)

If vec(c ) is a unit vector perpendicular to both vec(a) = vec(i) + 5vec(j) + vec(k) and vec(b)= 2vec(i) - vec(j) + vec(k) such that vec(a), vec(b), vec(c ) form right handed system then find vec(c ) .

Find a vector of length sqrt6 and perpendicular to both vec(a)= 2vec(i) -vec(k), vec(b)= 3vec(i)-vec(j)-vec(k)

A unit vector perpendicular to 2vec(i) + 3vec(j) + 4vec(k) and 3vec(j) + 2vec(k) is

Find the unit vectors perpendicular to both the vectors 2vec(i)- 3vec(j) + 5vec(k) and -vec(i) + 4vec(j) + 2vec(k)

A vector of magnitude 6 which is perpendicular to both 4vec(i) - vec(j) + 3vec(k) and -2vec(i) + vec(j) - 2vec(k) is

Any vector which is perpendicular to each of the vectors 2vec(i) + vec(j) -vec(k) and 3vec(i) -vec(j) + vec(k) is normal to

Find the angle between the vectors vec(i) + 2vec(j) + 3vec(k) and 3vec(i) - vec(j) + 2vec(k) .

A vector vec( c) perpendicular to the vectors 2vec(i) + 3vec(j)-vec(k) and vec(i)-2vec(j)+3vec(k) satisfying vec(c ).(2vec(i)-vec(j) +vec(k))=-6 is