mathcad - graphics and geometric transformations

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MathCad Graphics . .. and vector operations im i := Using Complex numbers to represent planar vectors A 00 im + := B 10 im + := C 11 im + := D 01 im + := E 0.5 1.7 im + := G 0.4 0 im + := H 0.4 0.8 im + := I 0.6 0.8 im + := J 0.6 0 im + := 0 0.5 1 1.5 2 0 0.5 1 1.5 2 Im C () Im E Re C ( ) Re E , Are "C" and "E" Vectors or Points What's the difference between vectors and points? Etch-a-sketch Drawing with the MathCad Plotting Tool house A B C D A D E C T := door G H I J T := 0 0.2 0.4 0.6 0.8 1 0 0.5 1 1.5 2 Im house Re house 0 0.2 0.4 0.6 0.8 1 0 0.5 1 1.5 2 Im house Im door Re house ( ) Re door ,

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Scale the houses by a factor of two by multiplying the x and y values of all points by 2 translate in the Y direction by adding a constant to the y-value of all points translate the vectors in the X direction by adding a constant to the x-value of all points neighbor house 1.5 + := 0 1 2 3 0 0.5 1 1.5 2 Im house () Im neighbor Re house ( ) Re neighbor , house 0 1 1i + i 0 i 0.5 1.7i + + = neighbor 1.5 2.5 2.5 i + 1.5 i + 1.5 1.5 i + 2 1.7i + 2.5 i +
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