1. Write a pair of equations to describe the following (sketching may help): The circle in which the plane7 through the point (1, 1, 3) and parallel to the xy-plane, meets the sphere of radius 5 centered at the origin. 2. A group of three students were given the following vectors and asked if there was any relationship among them: a=(g)i7rj+ (g)kandv=i+2jk Student 1: \"They are perpendicular.\" Student 2: \"They are parallel.\" Student 3: \"There is no relationship.\" One of the students is correct. Which student is correct? Show all of your work for how you know