Asked by #1

Find a vector equation for the tangent line to the curve of intersection of the cylinders x^2 + y^2 = 25 and y^2 + z^2 = 20 at the point (3, 4, 2).
Answered by oobleck
eliminating y^2, we have
x^2 + 20-z^2 = 25
x^2 - z^2 = 5
Now just find the tangent line in the usual manner.