If `vec(AB)=2hat(i)-4hat(j)+5hat(k) " and " vec(BC)=hat(i)-2hat(j)-3hat(k)` in parallelogram ABCD, find a unit vector in direction parallel to the diagonal `vec(AC)` of the parallelogram.

vec(a)=hat(i)+hat(j)+hat(k) " and " vec(b)=2hat(i)+hat(j)+2hat(k) represent two adjacent sides of a parallelogram. Find unit vectors in directions parallel to the diagonals of the parallelogram.

If vec(a)=hat(i)+2hat(j)-hat(k) " and " vec(b)=3hat(i)+hat(j)-5hat(k) , find a unit vector in a direction parallel to vector (vec(a)-vec(b)) .

If vec(a)=2hat(i)-3hat(j)+4hat(k) and vec(b)=5hat(i)+hat(j)-hat(k) represent sides of parallelogram, then find both diagonals and a unit vector perpendicular to both diagonals of parallelogram.

If vec(a)=2hat(i)-hat(j)+2hat(k) and vec(b)=6hat(i)+2hat(j)+3hat(k) , find a unit vector parallel to vec(a)+vec(b) .

If vec(a)=2hat(i)-5hat(j)+3hat(k) " and " vec(b)=hat(i)-2hat(j)-4hat(k) , find the value of abs(3vec(a)+2vec(b)).

If vec(a)=hat(i)+hat(j)+hat(k), vec(b)=2hat(i)-hat(j)+3hat(k) " and " vec(c)=hat(i)-2hat(j)+hat(k) find a unit vector in a direction parallel to vector (2vec(a)-vec(b)+3vec(c)) .

If vec(a)=4hat(i)-hat(j)+hat(k) and vec(b)=2hat(i)-2hat(j)+hat(k) , then find a unit vector parallel to the vector vec(a)+vec(b) .

If vec(A)=2hat(i)+hat(j)+hat(k) and vec(B)=hat(i)+hat(j)+hat(k) are two vectors, then the unit vector is

If vec(A)=2hat(i)+hat(j)+hat(k) and vec(B)=hat(i)+hat(j)+hat(k) are two vectors, then the unit vector is