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## Homework Statement

u = -1 + j[itex]\sqrt{3}[/itex]

v = [itex]\sqrt{3}[/itex] - j

Let

*a*be a real scaling factor. Determine the value(s) of

*a*such that

|u-[itex]a/v[/itex]| = 2[itex]\sqrt{2}[/itex]

## Homework Equations

The equation above is the only relevant equation.

## The Attempt at a Solution

I have converted the cartesian equation into polar in the hopes that it would be made easier but apparently not. I have gotten the following answer -8[itex]\sqrt{3}[/itex] + 12j. However, this does not work and is not a real scalar either...

This problem should be able to be done by hand.