MATH 1172 Midterm: MATH 1172 Ohio State University Math 1172 12.1 & 12.2 Solutions Fa 2014

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

Document Summary

November 3, 2015: let u = h4, 2i. Find a vector parallel to u with magnitude 4 times u: de ne an inequality that describes the a ball with radius 3 centered at (1, 2, 1). |v| = p162 + ( 8)2 = 8 5: let u = h3, 4i and let v = h1, 1i. Solution: the ball centered at the origin of ra- dius 3 consists of all vectors from the origin in. 3-space such that the length of the vector is less than or equal to 3. In other words all vectors v = hx, y, zi such that or. |hx, y, zi| 3, x2 + y2 + z2 9. To center the ball at (1, 2, 1) we need to simply translate our equation as follows. |7v| = p72 + ( 7)2 = 7 2 9. 8995.