Find a vector function that represents the curve of intersection of the two surfaces

MATHEMATICS · Subjective · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

Find a vector function that represents the curve of intersection of the two surfaces. The cone

z = \sqrt{x^2 + y^2}

and the plane

z = 1 + y