Direction cosines of of a vector

If the direction cosines of a vector of magnitude 3 are ,a>0 , then the vector is :

Let A(1, 2, -3) and B(-1, -2, 1) are two vectors. Direction cosines of the vector joining the vector in the direction A to is ……………….

If (1)/(2),(1)/(sqrt(2)) a are the direction cosines of some vector, then find a.

Find the direction cosines of a vector which makes equal angles with the axes.

The direction cosines of a vector hati+hatj+sqrt(2) hatk are:-