can you add thre unit vectors to get a unit vector? Does your answer change if two unit vectors are along the coordinate axes?

The unit vector along hati+hatj is :

The unit vector along 2hati+3hatj is

Out of the following,……..is not a unit vector.

Find a unit vector parallel to the vector -3hati+4hatj .

If the sum of two unit vectors is a unit vector, then magnitude of difference is-

If veca and vecb are two unit vectors and theta is the angle between them, then the unit vector along the angular bisector of veca and vecb will be given by

If hatn is a unit vector in the direction of the vector vecA , then hatn is

Which of the following is not a unit vector ?

The unit vector bisecting vec(OY) and vec(OZ) is

If sum of two unit vectors is a unit vector; prove that the magnitude of their difference is sqrt3