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I have to solve this using vectors, not geometry

My professor said the equation that's required is -v* = 2 proj v onto n - v

and v* is reflected vector, so I don't really understand how to do this

First off I don't understand how to use the equation itself, our teacher hasn't done any examples, he just showed us how he derived the equation

My attempt

I found proj of v onto n for the first line was (0, x+a) x is first x value for mirror but I'm not really sure how I'm supposed to subtract the vector, and then I also don't understand how we're supposed to find cotangent in our solution.

If anyone could help explain what I'm supposed to do, I'd be very grateful, thanks.