APPM 2350 Midterm: appm2350summer2015exam1_sol

• School: CU-Boulder
• Department: Applied Math
• Course: APPM 2350
• Professor: All

Document Summary

Summer 2015: (20 points) for each of the following unrelated questions, answer either always true or not always. Solution: (a) false (b) not always true (c) always true (d) always true: (25 points) consider the two points p1(2, 0, 3) and p2( 3, 2, 1) and the plane m described by the equation. Solution: (a) plugging p3 into the equation of the plane and solving for c gives. 2 (b) to nd a perpendicular plane, we know that the normal of plane m is going to be parallel to our new plane, n , as well as the displacement vector, p1p2. So, we can cross these two vectors to nd the normal of plane n . nm = h2, 6, 3i. P1p2 = h 5, 2, 2i nn = nm p1p2 = h12 6, 15 + 4, 4 30i. We can then use this and p1 to construct the equation of plane n .