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 .
known point (expressed in vector form) on the line being defined, and let aˆ be a unit vector whose direction is par-allel to the desired line. Then, the locus of points on the line is the set of all points x, satisfying x(t) = p + taˆ: The variable t is a real number, and is known as the line parameter. It measures the distance from the ...
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