MATH 222 Midterm: MATH 222 KSU Test2014su1 sol

• School: Kansas State University
• Department: Mathematics
• Course: MATH 222
• Professor: All

Document Summary

To receive credit you must show your work. The points p = (2, a triangle in 3-space. 2, 1), q = (1, 0, 2) and r = (1, . 2, 1) determine a)(10 points) find out all three angles in degree. Pq = q p =< 1, 2, 1 >, pr = r p =< 1, 0, 0 >, qr = Math 222 calculus 3 summer 2014: exam 1 b)(10 points) let s = (0, 0, 2). Check whether these four points p, q, r and s are in the same plane. Solution: first nd out the equation of the plane through p, q and r. n = pq pr =< Thus the equation is y + 2z = 2 2. Plug s = (0, 0, 2) into the above equation. Thus these four points are in the same plane. Compute the following: (1) (10 points) d dt (< t2, cos(t), 1 > < 0, ln(t), arctan(t) >);