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## Homework Statement

Find the tangent vector at the point (1, 1, 2) to the curve of intersection of the surfaces z = x

^{2}+ y

^{2}and z = x + y.

## Homework Equations

## The Attempt at a Solution

I haven't started the problem, because I'm not sure what the first thing to do is.

Do I have to parametrize the equations first? Then what?