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quiz2_sol - MATH 174 Quiz 2 Tuesday Jan 25 Name SM“...

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Unformatted text preview: MATH 174 Quiz 2 Tuesday Jan 25 Name: SM“ Section: PID: P Solve the problem systematically and neatly and show all your work. ‘ (j MW ,,, ‘ ......... _7 l.(2pts) Find the distance from point P = (1, 2, 3) to the plane 23: + y + 22 = 4. g ‘ // Hr (yam (A pow/it nub: 72’“ , 025‘ Fl: 6/“ (ROAM) My q MM» 3)] h /< 0,2,1) * <2m2>l 6 Q J . “‘fl “3 I’ll J 21741242" 2. Let P = (1,2,3), Q = (0,4, 5) and R = (—2,6, 8), (2pts) (a) find a unit vector which is perpendicular to plane PQR. oi: l \ v~ (2pts) (b) find the area of triangle PQR. (2pts) (c) find the equation of the plane through points P, Q and R. g mmmwmmmwmwmmwvwammmwawn-sawmummmmmmwmwmmmmmmmwxaw 3.(2pts) Let P = (1, 3,0) and Q = (2, 2, 2), find the parametric equation for the line through points P and Q. 38 FE):<I,—1,2,> PC’-§:D)V5 W‘f’ufim‘ Bonus Problem: (3pts) Find the point on the line PQ (in problem 3) which is closest to poin (Use the page on the back to solve.) ...
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