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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, .
Input Format
One line of input containing the space separated floating number values of the and coordinates of a point.
Output Format
Output the angle correct up to two decimal places.
Sample Input
0 4 5
1 7 6
0 5 9
1 7 2
Sample Output
8.19
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Class 2 - Find the Torsional Angle
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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, .
Input Format
One line of input containing the space separated floating number values of the and coordinates of a point.
Output Format
Output the angle correct up to two decimal places.
Sample Input
0 4 5 1 7 6 0 5 9 1 7 2 Sample Output
8.19