If and are unit vectors, then what is the angle between and , so that - is a unit vector ?

If and are two unit vectors such that + is also a unit vector, then find the angle between and
Write the position vector of the point which divides the join of points with position vectors and in the ratio 2:1.
For a 2 × 2 matrix A = [ ], whose elements are given by , write the value of .
Write fog, if f : R → R and g : R → R are given by f(x) = |x| and g(x) = |5x - 2|.
Write the differential equation formed from the equation y = mx + c, where m and c are arbitrary constants.