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Magnitude and Angle of Vector (#5225)

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* Magnitude and Angle 

Core function to find Magnitude and Angle of two Given Vector

* Magnitude and Angle with Doctest

added Doctest to the functions

* Update linear_algebra/src/lib.py

Co-authored-by: Christian Clauss <cclauss@me.com>

* Update linear_algebra/src/lib.py

Co-authored-by: Christian Clauss <cclauss@me.com>

* Changes done 

and Magnitude and Angle Issues

* black

Co-authored-by: Christian Clauss <cclauss@me.com>
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Aman kanojiya 2021-10-12 15:21:27 +05:30 committed by GitHub
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linear_algebra/src/lib.py
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@ -148,6 +148,36 @@ class Vector:
else: # error case
raise Exception("invalid operand!")
def magnitude(self) -> float:
"""
Magnitude of a Vector
>>> Vector([2, 3, 4]).magnitude()
5.385164807134504
"""
return sum([i ** 2 for i in self.__components]) ** (1 / 2)
def angle(self, other: Vector, deg: bool = False) -> float:
"""
find angle between two Vector (self, Vector)
>>> Vector([3, 4, -1]).angle(Vector([2, -1, 1]))
1.4906464636572374
>>> Vector([3, 4, -1]).angle(Vector([2, -1, 1]), deg = True)
85.40775111366095
>>> Vector([3, 4, -1]).angle(Vector([2, -1]))
Traceback (most recent call last):
...
Exception: invalid operand!
"""
num = self * other
den = self.magnitude() * other.magnitude()
if deg:
return math.degrees(math.acos(num / den))
else:
return math.acos(num / den)
def copy(self) -> Vector:
"""
copies this vector and returns it.