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Thanks for your answer.

Vectors are not always based at the origin. Vectors can be at any point in space-time.
It's better to think of i as the product of ortho-normal (perpendicular unit) bases vectors to get the algebra correct. i is also an operator that performs a 90o rotation on real (and complex) vectors and multi-vectors.

I plan to explain a bit more when I announce the winners in about 3 days.

Thx !!:)
Very good game!

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