If `hat(a) and hat(b)` are unit vectors such that `(hat(a) + hat(b))` is a unit vector, what is the angle between `hat(a) and hat(b)`?

If hat a ,\ hat b are unit vector such that \ hat a+ hat b is a unit vectors, write the value of | hat a- hat b|dot

If hat a and hat b are unit vectors such that [ hata hatb hatatimeshatb ]= (1)/(4) ,then the angle between hat a and hat b ,is equal to

The vector (hat i +hat j) is a unit vector.

If widehat a,hat b are unit vector such that widehat a+hat b is a unit vectors,write the value of |widehat a-hat b|

Let hat a , hat b , hatc be unit vectors such that hat a * hatb =hat a *hatc =0 and the angle between hat b and hat c be (pi)/(6) prove that hat a =+- 2 (hatb xx hat c )

Let hat(a) and hat(b) be two unit vectors. If the vectors hat(c) = hat(a) + 2hat(b) and hat(d) = 5hat(a) - 4hat(b) are perpendicular to each other, than the angle between hat(a) and hat(b) is