A Python 3.x package that implements and represents basic functionalities of Vectors.
Project description
vectorise
A Python package that implements and represents basic functionalities of Vectors.
It is also available on GitHub
Installation
Note :- Requires Python Version 3.x
If there are 2 or more versions of Python installed in your system (which mostly occurs in UNIX/Linux systems) then please run any one of the commands in the BASH/ZSH Shell :-
pip3 install vectorise
python3 -m pip install vectorise
If there is only Python 3.x installed in your system like in Windows systems then please run any one of commands in the Command Prompt :-
pip install vectorise
python -m pip install vectorise
Quick Guide
Please Read till the End
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Import the Package using
import vectorise as vr
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vr.Vector
creates a vector object.-
By Default it creates a null vector.
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It is Mutable i.e after its creation the vector object can be changed by
<Vector object>.{x, y, z} = value
.
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Direction Ratios of a Vector can be retrieved by any of the following methods :-
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<Vector object>.x
returns the direction ratio on the X-axis unit vector i. -
<Vector object>.y
returns the direction ratio on the Y-axis unit vector j. -
<Vector object>.z
returns the direction ratio on the Z-axis unit vector k. -
<Vector object>.directionRatios()
returns a tuple of the direction ratios of i, j, k respectively.
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<Vector object>.directionCosines()
returns a tuple of the direction cosines of i, j, k respectively. -
<Vector object>.directionAngles()
returns a tuple of the direction angles of i, j, k respectively. -
Magnitude of a Vector can be retrieved by any of the following methods:-
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<Vector object>.magnitude()
returns the exact magnitude of the Vector. -
len(<Vector object>)
returns the approximate magnitude of the Vector. Please Note :- This is specific to this version and the upcoming versions.
-
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<Vector object>.toUnit()
converts the given Vector to unit vector and returns it. -
All the Arithmetic Operations (including Unary Negation), except Multiplication; can be done using their usual symbols.
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<Vector object>.dot(<Vector object>)
returns the Dot Product of the given 2 Vectors, which would be a Scalar i.e either an integer or a floating point number. -
<Vector object>.cross(<Vector object>)
returns the Cross Product of the given 2 Vectors, which would be another instance of Vector. -
- <Vector object>
returns a Vector which is in the opposite direction to the given Vector. Please Note :- This is specific to this version and the upcoming versions.
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<Vector object>.makesAngleWith(<Vector object>)
returns the angle between the given 2 Vectors. -
<Vector object>.projectionOn(<Vector object>)
returns the projection of the self Vector over the Vector passed in. -
<Vector object>.projectionVectorOn(<Vector object>)
returns the projection Vector of the self Vector over the Vector passed in.
Please Note :- All the Returned Angles are in DEGREES, NOT IN RADIANS; so as to make calculations and understandability effortless.
Have Fun Learning!!!
A Sample Implementation
from vectorise import Vector
v1 = Vector(-3, 4, 5)
v2 = Vector(21, -54, -101)
v3 = Vector(-3, 4, 5)
print("V1 :", v1, "\nV2 :", v2, "\nV3 :", v3)
print("\nV1 == V2 :", v1 == v2)
print("V1 == V3 :", v1 == v3)
print("\nDirection Angles of V1 :", v1.directionAngles())
print("Direction Angles of V2 :", v2.directionAngles())
print("\nDirection Ratios of V1 :", v1.directionRatios())
print("Direction Ratios of V2 :", v2.directionRatios())
print("\nDirection Cosines of V1 :", v1.directionCosines())
print("Direction Cosines of V2 :", v2.directionCosines())
print("\n|V1| :", v1.magnitude(), "\n|V2| :", v2.magnitude())
print("\nUnit Vector of V1 :", v1.toUnit(), "\nUnit Vector of V2 :", v2.toUnit())
print("\nV1 + V2 :", v1+v2)
print("V1 - V2 :", v1-v2)
print("\nV1 * 2 :", v1*2)
print("V2 * 3 :", v2*3)
print("\n-V1 :", -v1)
print("-V2 :", -v2)
print("\nV1 . V2 :", v1.dot(v2))
print("V1 X V2 :", v1.cross(v2))
print("V2 X V1 :", v2.cross(v1))
print("\nAngle between V1 and V2 :", v1.makesAngleWith(v2))
print("\nProjection Vector of V1 on V2 :", v1.projectionVectorOn(v2))
print("Projection Vector of V2 on V1 :", v2.projectionVectorOn(v1))
print("\nProjection of V1 on V2 :", v1.projectionOn(v2))
print("Projection of V2 on V1 :", v2.projectionOn(v1))
Project details
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