MTH 254 Midterm: MTH 254 Oregon State Midtermsol

• School: Oregon State University
• Department: Mathematics
• Course: MTH 254
• Professor: All

Document Summary

M id term s p rin g 2000 m ath 254h 100 p oints. If you have any questions about what you are supposed to do ask: (10 points) calculate the angle between ~v = h 1, 2, 1i and ~ = h1, 0, 0i. You may give your answer in either radians or degrees, but specify which units please. Since ~v ~ = |~v||~ | cos , we have cos = 1/ 6 and so = arccos( 1/ 6). = 1. 99 radians = 114. 1 degrees: (10 points) suppose that the points p (1, 2, 3), q(4, 4, 6), and r(a, 0, b) are colinear in r3. In order for the points to be colinear, the vector ~p r must be a scalar multiple of the vector ~p q. Thus, there must be a scalar such that. Looking at the second coordinate, we must have = 1, so a 1 =