Transcription of Vectors - Clemson University
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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.
or a struct containing two floats. When working in 2D, the direction of the vector can be given by the slope m = v y=v x. Its magnitude, also called its norm, is written kvk. By the Pythagorean Theorem, kvk= q v2 x + v2 y. A vector in 3D space is defined by three scalars arranged in a column, v = 2 66 66 66 4 v x v y v z 3 77 77 77 5; where v x ...
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