You are given four points and in a 3-dimensional Cartesian coordinate system. You are required to print the angle between the plane made by the points and in degrees(not radians). Let the angle be .
where x and x .
Here, means the dot product of and , and x means the cross product of vectors and . Also, .
One line of input containing the space separated floating number values of the and coordinates of a point.
Output the angle correct up to two decimal places.
0 4 5 1 7 6 0 5 9 1 7 2