Operations in coordinates

ey

ex

v

v = (v,ex)ex + (v,ey)ey

works only for orthonormal

coordinates!

v = vx ex + vy ey = [ vx, vy ]

vx

vy

Operations in coordinate form:

v + w = [ vx, vy ] + [ wx, wy ] = [vx + wx, vy + wy]

-w = [ -wx, -wy ]

a w = = [a wx, a wy ]

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