MATH 2568 Study Guide - Midterm Guide: Dot Product, Cross Product

• School: Ohio State University
• Department: Mathematics
• Course: MATH 2568
• Professor: All

Document Summary

Note 1: you have 30 minutes for this test. Note 2: don"t waste time computing numerical answers: e. g. if you reach something like (2 3 + 4 5) , leave it like that instead of simplifying it down to some single: (jra 2. 3, 40) find a vector v that is perpendicular to the plane containing the points. A = ( 1, 1, 2), b = (2, 1, 1), c = (0, 2, 4). Let u = ~ab = h3, 0, 3i and v = ~ac = h1, 3, 2i. Then any vector perpendicular to both u and v is perpendicular to the plane contain- ing the points a, b, and c. one vector which works is the cross product u v: = h 9, 9, 9i. u v = (cid:12) (cid:12) (cid:12) (cid:12) (cid:12) (cid:12) j k. 1 3 (cid:12) (cid:12) (cid:12) (cid:12) (cid:12) (cid:12: (strang 1. 2, 28) let a, b, c, and d be four vectors in the xy-plane.