# Class 2 – Find the Torsional Angle in Python – HackerRank Solution Class 2 – Find the Torsional Angle in Python – HackerRank Solution

You are given four points A, B, c and D in a 3-dimensional Cartesian coordinate system. You are required to print the angle between the plane made by the points A, B, C and B, C, D in degrees(not radians). Let the angle be PHI.
Cos(PHI) = (X*Y) / |X| |Y| where X = ABxBC and Y = BC x CD.Here, X.Y means the dot product of X and Y, and ABxBC means the cross product of vectors and . Also, AB = B – A.

#### Input Format :

One line of input containing the space separated floating number values of the X,Y and Z coordinates of a point.

#### Output Format :

Output the angle correct up to two decimal places.

```0 4 5
1 7 6
0 5 9
1 7 2
```

`8.19`

### Class 2 – Find the Torsional Angle in Python – HackerRank Solution

```import math
class Points(object):
# Class 2 - Find the Torsional Angle in Python - HackerRank Solution START
def __init__(self, x, y, z):
self.x = x
self.y = y
self.z = z
def __sub__(self, no):
x = self.x - no.x
y = self.y - no.y
z = self.z - no.z
return Points(x, y, z)
def dot(self, no):
x = self.x * no.x
y = self.y * no.y
z = self.z * no.z
return x + y + z
def cross(self, no):
x = self.y * no.z - self.z * no.y
y = self.z * no.x - self.x * no.z
z = self.x * no.y - self.y * no.x
return Points(x, y, z)
# Class 2 - Find the Torsional Angle in Python - HackerRank Solution END
def absolute(self):
return pow((self.x ** 2 + self.y ** 2 + self.z ** 2), 0.5)
if __name__ == '__main__':
points = list()
for i in range(4):
a = list(map(float, input().split()))
points.append(a)
a, b, c, d = Points(*points), Points(*points), Points(*points), Points(*points)
x = (b - a).cross(c - b)
y = (c - b).cross(d - c)
angle = math.acos(x.dot(y) / (x.absolute() * y.absolute()))
print("%.2f" % math.degrees(angle))```

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