MATH 1172 Midterm: MATH 1172 Ohio State University Math 1172 12.4 Fa 2014

• School: Ohio State University
• Department: Mathematics
• Course: MATH 1172
• Professor: All

Document Summary

Let u = hu1, u2, u3i and v = hv1, v2, v3i. Then we de ne the cross product of u against v as: consider the points a = (5, 6, 1), b = (6, 2, 1), and c = (2, 4, 2) and the triangle they form. What is the area of the triangle they form? u v = j k i u1 u2 u3 v1 v3 v2 (cid:12)(cid:12)(cid:12)(cid:12)(cid:12)(cid:12) (cid:12)(cid:12)(cid:12)(cid:12)(cid:12)(cid:12) j i k u1 u2 u3 v1 v3 v2. +(cid:12)(cid:12)(cid:12)(cid:12) u1 u2 v1 v2 (cid:12)(cid:12)(cid:12)(cid:12) i (cid:12)(cid:12)(cid:12)(cid:12) (cid:12)(cid:12)(cid:12)(cid:12) k u1 u3 v3 v1 j (cid:12)(cid:12)(cid:12)(cid:12) Consider the vectors u = h3, 2, 1i and. Find u v: let r = op = i j +2k. A force h10, 10, 0i is applied at p . Find the torque around o that is produced. 1: true or false: let u and v be vectors, true or false: let u and v be vectors.