2-Vector

Vectors

We are going to implement vectors in 2D and n-dimensional space.

Check the example for classes.rb in order to get some insight on how to set and get values of instance variables.

Vector2D

Implement class named Vector2D with the following interface:

class Vector2D
  def initialize(x, y)
    @x, @y = x, y
  end

  def x
  end

  def x=(value)
  end

  def y
  end

  def y=(value)
  end

  def length
    # Your code goes here.
  end

  def normalize
    # Your code goes here.
  end

  def ==(other)
    # Your code goes here.
  end

  def +(other)
    # Return a new Vector2D that represents the result
    # Your code goes here.
  end

  def -(other)
    # Return a new Vector2D that represents the result
    # Your code goes here.
  end

  def *(scalar)
    # Return a new Vector2D that represents the result
    # Your code goes here.
  end

  def /(scalar)
    # Return a new Vector2D that represents the result
    # Your code goes here.
  end

  def dot(other)
    # Return the dot product of the two vectors
    # https://en.wikipedia.org/wiki/Dot_product#Algebraic_definition
  end

  def to_s
    # Your code goes here.
  end
end

Vector

Now that we got our hands dirty with classes and vectors, let's implement a more generic n-dimensional vector. Let's use this vector as the basis for the implementation of two other vector types.

• Vector2D the same vector as above, implemented in terms of Vector.
• Vector3D similar to Vector2D, but has a z attribute as well.

The Vector interface should be:

class Vector
  def initialize(*components)
    # Let's make it more interesting here. I wanna initialize the vector with
    # `Vector.new(1, 2, 3, 4)` and `Vector.new([1, 2, 3, 4])` and expect the
    # same vector.
  end

  def dimension
    # Your code goes here
  end

  def length
    # Your code goes here.
  end

  def normalize
    # Your code goes here.
  end

  def [](index)
    # Your code goes here.
  end

  def []=(index, value)
    # Your code goes here.
  end

  def ==(other)
    # Your code goes here.
  end

  def +(vector_of_same_dimension_or_scalar)
    # Return a new Vector that represents the result
    # Your code goes here.
  end

  def -(vector_of_same_dimension_or_scalar)
    # Return a new Vector that represents the result
    # Your code goes here.
  end

  def *(scalar)
    # Return a new Vector that represents the result
    # Your code goes here.
  end

  def /(scalar)
    # Return a new Vector that represents the result
    # Your code goes here.
  end

  def dot(vector_of_same_dimension_or_scalar)
    # Return the dot product of the two vectors
    # https://en.wikipedia.org/wiki/Dot_product#Algebraic_definition
  end

  def to_s
    # Your code goes here.
  end
end