Vectors

Note

Source: Python-specific — no equivalent in the C# edition.

Todo

Write the vectors section covering:

• A vector as an ordered list of numbers; representation as a Python list

• Element-wise addition and subtraction

• Scalar multiplication

• Dot product: definition, implementation with a loop, geometric meaning

• Magnitude (Euclidean norm): math.sqrt(sum(x**2 for x in v))

• Normalization: dividing each element by the magnitude

• Code examples for each operation as standalone functions

• Sample runs showing input/output

• Brief note on how these map directly to numpy array operations

• Review questions / exercises