MATH 2310 Midterm: MATH 2310 2310_midterm1
31 Jan 2019
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Instructions: time allowed: 50 minutes, no calculators or other aids permitted, show your work. Your work must justify any answers you give. Use page backs for any scrap work: use pen to ll in cover. If you use pencil for your solutions, you may not submit your paper for regrading: there are 3 questions on 3 pages. Math 2310 - fall 2015 midterm 1 (i). (a) (5points) suppose the vectors v1 and v2 are such that |v1| = 2, |v2| = 3 and v1 v2 = 5. Compute v3 = projv1v2 and v4 = projv2v3. We have v3 = v1 v2 v4 = v2 v3. Thus, (b) (5points) compute |v1 v2| and |v1 v3| We have |v1 v3| = 0 since v1 and v3 are parallel. |v1 v2| = |v1||v2|| sin | where is the angle between v1, v2. Provide an equation to the plane containing r(t) and the point (1, 2, 2).
