# quiz 2 answers - ~~ t" 0 I Lc"If u v and u-v arc...

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QUIZ 2 Name: RElVIEMBER !! Show details of your work and use correct notation. 1. (4 points) Let u = < 2, -1,2 > and v = 2i + j - 1k. Find the vector projection of v auto u . V 1;-1-1. . IV ""'" (.( - tA - O~ i'" - - ~ l~l~ 4+ l +"t , - -J """ 2. (6 points) Consider the planes .7.: - Y + z = 1 and -2x + y - 3z = 2. (a)Show that these planes arc not parallel (without using part (b)) . .. It. ... nv( \S I:: (I -\ I) 0..1\-0\ "l.=~ 2, , 0...( t- 1\ po-r 1[12. .\ (vJ~ 1) W\ J. -;: -l. L...- r' CYf ~ .,+ pu.--r~\ \. 1') J (b)Find parametric equations of the line of intersection of these two planes.

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Unformatted text preview: ~~ t: "::. 0, I Lc--, "If u+v and u-v arc perpendicular, then the vectors u and v have the same length." l.I-V ............-0-\A --I V-"'-' o 1 1. (6 points) Let r(t) =< t :,;in t . . , cos t >. Fll1d th bll10rmaJ vecLor to r(t) at t = O. )'\L ~, J, ,f IJ --== I , ~ r (i) -L. + l) J -\$, "-'"'-I ILL J(== Jet1 -£ Ct) 1 r'Ctjl I( 01 = i ( , + (0)0 J ~51/; O~): Ll ).!-)o( ~ YL Vi 'U-_ (Jj c> ~ =-L I 0 I -) rJ (:>1 :: -S ,-.,u 2-f'-~ ~l I'J ( ) ~ I (0) 'f ~ (;:» "" "-...
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quiz 2 answers - ~~ t" 0 I Lc"If u v and u-v arc...

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