Add two simple vectors
Input
Vector2D(1, 2) + Vector2D(3, 4)
Output
Vector2D(4, 6)
x components 1+3=4; y components 2+4=6; result is Vector2D(4, 6).
Full lesson preview
Overload __add__ for a Vector2D
Create a simple 2D vector class and overload the + operator to add vectors component-wise.
Python practice15 minMagic Methods & Operator OverloadingIntermediateLast updated April 11, 2026
Problem statement
You'll implement a Vector2D class representing a point or vector in 2D space with x and y numeric components. Implement the __add__ magic method so that adding two Vector2D instances returns a new Vector2D whose x and y are the component-wise sums. Also implement a readable representation so results display clearly when returned from expressions. The class should not mutate the original operands. For convenience, implement __radd__ or ensure your __add__ works with sum() when given a starting Vector2D(0,0).
Task
Implement __add__ (and a helpful __repr__) so Vector2D objects can be added using the + operator and behave well with sum().
Examples
Input format
Each test is a single Python expression that constructs Vector2D instances and uses the + operator.
Output format
Return value is a Vector2D instance; the harness compares its string representation to the expected string.
Constraints
x and y will be numbers (int or float). Preserve immutability: don't change operands during addition. Make __repr__ show values as 'Vector2D(x, y)'.
Samples
Sample 1
Input
Vector2D(-1, 5) + Vector2D(2, -3)
Output
Vector2D(1, 2)
(-1)+2=1 and 5+(-3)=2.