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The second picture are all of the required tests that need to be passed. Goal: [10pts] Write the class Vector that supports the basic vector

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The second picture are all of the required tests that need to be passed.

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Goal: [10pts] Write the class Vector that supports the basic vector operations. Such operations are addition (+) and subtraction (-) of vectors of the same length, dot product (*) and multiplication (*) of a vector by a scalar. All methods must return (not print) the result. Your class should also support the rich comparison for equality You must use the special methods for those 4 operators in order to override their behavior You will need other special methods to achieve a legible object representation. Dot product and multiplication by scalar use the same operator, so you must check the type of the object in order to decide which operation you have to perform For addition and subtraction, you must check that vectors have the same length The dot product results in a scalar, not a Vector The rest of the methods must return a Vector obiect (not a string with the word Vector) - - - - - - Test your code, this is how you ensure you get the most credit out of your work!! - When returning error messages, make sure your string contains the word 'error Check the doctest for object behavior examples. Vector size is variable Hint: Section 3.3.8. Emulating numeric types in - docs. python.org/3 reference datamodellt ml #emulating-numeric-tves class Vector: >>> Vector ([1,2]) +Vector (15]) Error Invalid dimensions' >>> Vector ([1,2]) +Vector ([5,2]) Vector([6, 41 >>>Vector (11,2])-Vector ([5,21) Vector (I-4, 01) > Vector ([1,2]) Vector ([5,2]) >>>x-Vector (12,4,6]) >>> y-Vector (12,4,6]) >>> c=x+y >>> type (c) >>> print (c) Vector (14, 8, 12]) True >>> x-Vector (1,2]) Error Invalid dimensions' 'Error Invalid operation' x x*y 56 > x*5 Vector ([10, 20, 30]) Vector (I10, 20, 30]) -init-(self, vector-list): self.vector vector list def You r code starts here

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