The vector (1,1) has different coordinates in a basis rotated 45 degrees than in the standard x-y basis.
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A coordinate transform changes how a vector is represented, while the underlying geometric vector can remain the same. Experiment with a small example and see each step update.
The vector (1,1) has different coordinates in a basis rotated 45 degrees than in the standard x-y basis.
Read the related guide · · Bookmark this unique URL with Ctrl/Cmd+D.