Create a module vector in a file called vector.py. The module contains the class Vector which has the following properties:The vector is three-dimensional, with default value <x,y,z> equal to <0,0,0>.The + operator can be used between two vectors in order to perform vector addition.The * operator can be used between a vector and a number in order to perform vector scalar multiplication.Using print() on a vector will print its component values. See example below.The Vector class has a method cross_product() where a.cross_product(b) performs a cross product between vectors a and b and returns the resulting vector.The Vector class has a method dot_product() where a.dot_product(b) performs a dot product between vectors a and b and returns the resulting value.The Vector class has a method magnitude() where a.magnitude() returns the magnitude of vector a.You may use the math module for this exercise and nothing else.Example usage from vector import Vector v1 = Vector(1, 1, 0) # Initialize vector <1,1,0>v2 = Vector(2, 1, 3) # Initialize vector <2,1,3> print(v1) # Should print "<1,1,0>"print(v2) # Should print "<2,1,3>" v3 = v1 + v2 # v3 is <3,2,3>v4 = v1 * 3 # v4 is <3,3,0>v5 = v2 * 2 # v5 is <4,2,6> v1.cross_product(v2) # returns <3,-3,-1>v1.dot_product(v2) # returns 3v1.magnitude() # returns 1.4142135623730951 use python

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C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter16: Searching, Sorting And Vector Type

Section: Chapter Questions

Problem 24SA

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Question

Create a module vector in a file called vector.py. The module contains the class Vector which has the following properties:

The vector is three-dimensional, with default value <x,y,z> equal to <0,0,0>.
The + operator can be used between two vectors in order to perform vector addition.
The * operator can be used between a vector and a number in order to perform vector scalar multiplication.
Using print() on a vector will print its component values. See example below.
The Vector class has a method cross_product() where a.cross_product(b) performs a cross product between vectors a and b and returns the resulting vector.
The Vector class has a method dot_product() where a.dot_product(b) performs a dot product between vectors a and b and returns the resulting value.
The Vector class has a method magnitude() where a.magnitude() returns the magnitude of vector a.

You may use the math module for this exercise and nothing else.

Example usage

from vector import Vector

v1 = Vector(1, 1, 0) # Initialize vector <1,1,0>

v2 = Vector(2, 1, 3) # Initialize vector <2,1,3>

print(v1) # Should print "<1,1,0>"

print(v2) # Should print "<2,1,3>"

v3 = v1 + v2 # v3 is <3,2,3>

v4 = v1 * 3 # v4 is <3,3,0>

v5 = v2 * 2 # v5 is <4,2,6>

v1.cross_product(v2) # returns <3,-3,-1>

v1.dot_product(v2) # returns 3

v1.magnitude() # returns 1.4142135623730951

use python

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