CoCalc Public FilesOhlone / 2016-02-23-222344.ipynbOpen with one click!
Author: Emmanuel Garcia
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Description: Jupyter notebook Ohlone/2016-02-23-222344.ipynb
Compute Environment: Ubuntu 18.04 (Deprecated)
In [116]:
#x + y + 2z = 5 v1 = [ 3,0,-4 ]; # first spanning vector v2 = [ 0,3,-4 ]; # second spanning vector b = [-1, -1, 10]; # The vector to project v3 = cross(v1,v2)/3 # # The normal vector # projection of b onto v3 p1 = dot(b,v3)/dot(v3,v3)*v3 [ 88/41 88/41 66/41 ] # To verify that it worked p2 = b - p1 [ -129/41 -129/41 344/41] # To verify that it worked # to verify that it worked by showing that the projections add to the original vector p1 + p2
v3 = 4 4 3 p1 = 2.14634146341463 2.14634146341463 1.60975609756098 ans = 2.14634146341463 2.14634146341463 1.60975609756098 p2 = -3.14634146341463 -3.14634146341463 8.39024390243902 ans = -3.14634146341463 -3.14634146341463 8.39024390243902 ans = -1 -1 10
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