Curve of intersection with two surfaces

[steller]

Show that the curve with vector equation is the curve of intersection of the surfaces

and

. Use this fact to sketch the curve.

I am completely lost.

Would i take

and plug it into

then

I dont know what to do.

 

[DrPhil]

Show that the curve with vector equation is the curve of intersection of the surfaces

and

. Use this fact to sketch the curve.

I am completely lost.

Would i take

and plug it into

then

I dont know what to do.

The first surface is a circular cylinder parallel to the z-axis, centered at (1,0), with radius 1

The second surface is a sphere at the origin, with radius 2.

Did you give us the entire question? I have no idea what is meant by "the curve with vector equation."