## helloguys4321 2 years ago Find all vectors v in the plane such that ||v||=1 and ||v+i||=1

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1. klimenkov

If $$v=(x,y)$$, then $$|v|=\sqrt{x^2+y^2}$$. $$i=(0,1)$$ $$|v+i|=|v-(-i)|$$|dw:1360447427022:dw| $$v_1$$ and $$v_2$$ are the vectors you need.