CS 477: Vector Module: Definition of Euclidean Vectors

Module content developed by Professor Tralie. Module engine developed by Professor Tralie and Professor Mongan.

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  • A Euclidean vector can be thought of as an arrow with a direction and a magnitude. It can also be written as a tuple. In 2D, the tuple is written with two coordinates as (x, y). Though in this class, we will go well beyond to higher dimensions.
  • Two vectors can be added together by summing their corresponding tuple entries. There is a nice geometric interpretation of this known as the "parallelogram rule" or the "tip to tail rule."