MATH 215 Midterm: exam1f03
Document Summary
Please do all your work in this booklet and show all the steps. Write your nal answer in the corresponding box. Problem 1. (15 pts. ) (a 5 pts. ) Find the area of the triangle with vertices a(1, 0, 0), b(0, 1, 0), and c(0, 0, 1) and compare it to the area of its. Shadow on the xy-plane. (b 5 pts. ) Find the distance from the point p (14, 4, 8) to the plane 6x 2y + 3z = 2. (a) Find an equation of the sphere centered at the point p (14, 4, 8) and touching the plane 6x 2y + 3z = 2. (b) Problem 2. (10 pts. ) (a 5 pts. ) Find an equation of the plane containing the line l : r(t) = (2 + 3t)i + (1 2t)j + ( 1 + t)k and the point. P (1, 3, 1). (b 5 pts. )
