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Quis 2 Solutions

Quis 2 Solutions - APMA 212 Quiz#2 I Name ém Write and...

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Unformatted text preview: APMA 212 Quiz #2 January 31, 2008 I Name: ém Write and sign the pledge. 1. (2 pts) Find the parametric equations of the line that passes through P(-1, -1, 10) and is perpendicular to the plane x + 3 y + z = 6 . 2. (3 pts) Find an equation of the plane that passes through the points A(2, 1, 1), B(-1, -1, 10), and C(1, 3, -4). We: <-l-—Z)—l—-rl»,? 10—I>== («sf—2,6» AC=<lv2,3—1,*4—I>= <~I,2,*5> A A a A *" C: 4’ J 4’- ABXA ’3 -Z q =<“g)’2‘4’,"g> vi 2 -5 3. (2 pts) Are the planes x + y — z = 1 and 2x — 3y + 42 = 5 parallel? Ifnot, ﬁnd the cosine of the angle between them. NM” “ML” ’5" ”Wiwﬁ 375"”:“5 ¢f2=<2rs4> Nortll Moe— 712:79672. 4. (3 pts) Identify the surface )22 + z2 — x — 2 y — 42 + 6 = 0 . What are its orientation and location (i.e., its axis and vertex)? (g—I)L+(5-2)L~x+i=o 3;, 14¢ (g’If‘Hg—z); with m“ at mm Iowa/MM gum «am Mam. . M711; We; d1 1, 1);). ...
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