A Parametric Representation of the Curve of Intersection of the Two

Multiple Choice

A parametric representation of the curve of intersection of the two surfaces 4x² + y² + z² = 8 and is given by which of the following vector equations?

A) r = 2cos(t) i + sin(t) j - 2 k, 0 $\le$ t $\le$ 2 $\pi$
B) r = 2cos(t) i + sin(t) j + 2 k, 0 $\le$ t $\le$ 2 $\pi$
C) r = cos(t) i + 2sin(t) j +2 k, 0 $\le$ t $\le$ $\pi$
D) r = cos(t) i + 2sin(t) j - 2 k, 0 $\le$ t $\le$ 2 $\pi$
E) r = 2cos(t) i + sin(t) j - 2 k, 0 $\le$ t $\le$ $\pi$