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Vectors: Addition and Subtraction - The Parallelogram Law

Explore the Parallelogram Law to determine the sum or the difference of two vectors. Move the (shared) tail and the heads of both vectors to explore different configurations.

Special Cases

Is it possible to apply the Parallelogram Law when the given vectors are collinear? Explore these special cases using the app, then explain your conclusions. (Note: Two vectors are collinear when they have the same direction, that is, they geometrically belong to the same line.)