mid1_solution

mid1_solution - M id-term O ne M ath 20E Section B Winter...

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One Math 20E Section B, Winter 2011 UCSD 5 tJ\) ",'(\"(\ S Name: ID Number: Section: Instructions: • NO CALCULATOR. • CLOSED BOOK, CLOSED NOTES, except for the formula sheet attached. • ID WILL BE CHECKED. GET IT READY! • SHOW ALL YOUR WORK! (The final answer without steps only earns partial credits.) 1. (20 points) Given three points P = (-1,2,0), Q = (1,2,2) and R= (0,3,2). a. (10 pts) Find the equation of the plane containing these three points. ~ p Q ~ (-r 2 ) 0 ) 4- 2 ) ;;-f1 . R U( .: C~ I J-I J 0) ~ ~ PG )( - gQ 'I J JC .... 1-" " " ~-! "'- ::- J l' '2 O . . z... " +:2. 1 J J - a k __ u_ ~ _ + I - I 0 ~'j - 1.- I : D ] flut\€ ;2.(x _ ,)+- ~(:1-2)-2.(l!-i)=o 'Ob ~ i/ ;()< - ~ + OJ tl - "i - a L -+ '1 ~ (} ~)! 'J.)( f ;). 'J - ~ ~ ~ O"l b. (10 pts) Find the area of the triangle formed by these three points~ == ~ 1- ~ ~ a.u. c" \1 PQxRQ\\ - -2. 'J' L 'l. . )l. 2. {;) +'2 +G-?. 2
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mid1_solution - M id-term O ne M ath 20E Section B Winter...

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