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Vectors - Clemson University

A P P E N D I Scaling a Unit or Direction vector vector Points and Parametric definition of lines and Dot or inner Trigonometric interpretation of dot Geometric interpretation of dot Dot product example: The distance from a point to Dot product example: Mirror Cross Trigonometric interpretation of cross Cross product example: Finding surface Cross product example: Computing the area of Foundations of Physically Based Modeling and AnimationTo a mathematician, a vector is the fundamental element of what is known as a vectorspace, supporting the operations of scaling, by elements known as scalars, and alsosupporting addition between Vectors . When using Vectors to describe physical quantities,like velocity, acceleration, and force, we can move away from this abstract definition, andstick with a more concrete notion.

space, supporting the operations of scaling, by elements known as scalars, and also supporting addition between vectors. When using vectors to describe physical quantities, like velocity, acceleration, and force, we can move away from this abstract definition, and stick with a more concrete notion. We can view them as arrows in space, of a ...

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