A Python package that implements and represents basic functionalities of Vectors.
It is also available on PyPI
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
Please Read till the End
- Import the Package using
import vectorise as vr
vr.Vector
creates a vector object.- By Default it creates a null vector.
- It is Mutable i.e after its creation the vector object can be changed by
<Vector object>.[x, y, z] = value
.
- Direction Ratios of a Vector can be retrieved by the following methods :-
<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.
<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.<Vector object>.magnitude()
returns the magnitude of the Vector.<Vector object>.toUnit()
converts the given Vector to unit vector and returns it.- All the Arithmetic Operations, except Multiplication; can be done using their usual symbols.
<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>.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 Angles Returned are in DEGREES, NOT IN RADIANS; so as to make calculations and understandability effortless. Have Fun Learning!!!
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("\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))