2005 Exam 2 Spring

# 2005 Exam 2 Spring - Page2 of8 Problem f(15 pts total fr...

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Page 2 of8 Problem f . (15 pts total.) (c) Find the distance fro 1,2,0) to the plane 2x +3y - z = 6. .: ( O,o, b) i (-1,-z ,- (e) \rL-7 : *(23,-t). le,7o,'ft . (2 L -?\\ -l-2. 9-, el - i ' urr4t-(qt -'trila\',fq tt1 * frcl -i' \ :n the plane x + y =2 andthe line (x,y,z) = (0,2,1)!J ? ,'?' t '11 )F ;) il 5)4,,i)i rii;1.i"] \$ t)il*,,:)ill!. .i;i"] \$ ,,,#,iii:l,l','' ( )i N \Al z'p-il-; = (0,2, )r^.Jv-"^ r. +(t-z)'t {z-t;' t'^*(- distance fr I17,o) l,-l) { 'n1 :" I intersectio \ ^i '-r \ '' I R' l-r 1. - t k:- t'z-)'' -.\ ': K . i,,-F -2,1 -) r* .) V:r\ -i/ ltL) -il

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Page 3 of8 I Problem 2.(20 pts total) (a)Find the intersection between two planes x +2y -32 =2 and 2x + y = 2. What is the direction of the line corresponding to the intersection? (b) Find the basis vectors for the solution space of the system below xr+2xr-3xr+rr =0 3xr+xo=0 Li I .t zl- \ 't ) I o-rl'\$j.,rrr.i " '/ ', ,''rlY .', I I ir ti I l i) j .- i__ "tv t L \ 1i l -N ii It Y-. i t' I I /I I | \ -. .1 -1" I' li ,4 r&l ..1 o I 'i | | I'l -2 t ur. . / Oni'l 1. r.. \ \\ -jl/ ion of the solution spacpt---) () -'i Q,- K. r \$,2--'{ 1 I ,,) "_.-,Li,",'] t rlo) +GY, u;.#r;' x, f-i\ - t lo ) What is the dimens (\ L -3 l1 I oo t tl L -)v Xr---zt'z > \'+-- >^1 !,n "' o\( I +> d**. .,,. .-i,',, -'n'*
Problem 3.(10 pts total) Circle your answers to the following: (a)If the matrix A is symmetric, which of the following is not necessarily true? Circle all that apply.

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2005 Exam 2 Spring - Page2 of8 Problem f(15 pts total fr...

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