CSE 681 Brief Review: Vectors. CSE 681 Vectors Direction in space Normalizing a vector => unit vector Dot product Cross product Parametric form of a line.

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Presentation transcript:

CSE 681 Brief Review: Vectors

CSE 681 Vectors Direction in space Normalizing a vector => unit vector Dot product Cross product Parametric form of a line

CSE 681 Normalizing a Vector Compute the magnitude and divide through Produces a UNIT VECTOR Aka NORMALIZED VECTOR To normalize (x,y,z) :

CSE 681 Dot Product If A and B are unit vectors, If A is unit vector, is length of B projected onto A B A  Scalar Product

CSE 681 Cross Product is orthogonal to plane defined by A and B With length If A and B are unit vectors, If B is unit vector, is perpendicular distance from A to B A B  A B AxB  Vector Product

CSE 681 Parametric Equation of Line P 0 is point on line V is direction of line Generalizes to any dimension (2D, 3D, etc) As 0 < u < 1.0, P(u) goes from P 0 to P 0 +V V P0