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RE: Win SBD in this Math Contest #1 - Simplify:
ux.i = uy
That is the algebra.
i2 = -1, is interpreted geometrically as a rotation of -180 degrees.
Multiplication is interpreted as multiplying the modulus and adding the angles. Division is therefore the inverse, so i is interpreted as a rotation of -90 degrees (anticlockwise).
Hence ux.i means rotate the unit vector 90 degrees anticlockwse, which takes it to uy.
Check out who the winners are. You are one of them.
https://steemit.com/math/@point/winners-and-answer-to-the-win-sbd-in-this-math-contest-1-simplify
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Thank you for your answer.
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Just in case you're interested, I posted a hint today:
https://steemit.com/math/@point/update-and-hint-on-win-sbd-in-this-math-contest-1-simplify