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Geometric Transformations
Moving Objects with Vectors
Vector addition in R1
Familiar addition of real numbers

P = [2], P' = [4], P'' = P + P' = [6]
Vector addition in R2
The x and y parts of vectors can be added using addition of real numbers along each of the axes (component-wise addition)

Result, P + P', plotted in R2 is the new vector


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Geometric Transformations - 09 MAY 95
Page 13 of 51
sl@cs.brown.edu
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