The unit vectors along the three co-ordinate axes are related as

The unit vector along hati+hatj is

The unit vector along hati+hatj is :

The unit vector along hat(i)+hat(j) is

The unit vector along 4hati-hatj+6hatk .

The co-ordinates of the point P on the graph of the function y=e^(-|x|) where the portion of the tangent intercepted between with the co- ordinate axes has the greatest area,is

The unit vector along vec(i)+vec(j) is :-

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