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sol1 - Math 321 Quiz 1(Sample Name Pens Q,” 1(5"pt...

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Unformatted text preview: Math 321 Quiz 1 (Sample) Name Pens Q,” 1. (5"pt) Make simple 3D perspective sketches showing Cartesian, cylindrical and spherical A2; representations of a vector in 3D space. (Draw them separately and label them.) 2. (2 t) What are the cylindrical coordinates for the point whose Cartesian coordinates are (0,-1,0)? What are the spherical coordinates for the point whose Cartesianécocgnates are (0,0 ,1), ( ) , f 1/ 1214:0982}; 00,! [q{@- 0m (K 3%) (.0 ”i 0) ): ((PZLEYEWK’ . YchgfyL-rglfii ‘ aw?) ( gr: 11"!»st :72 Mom: 99:11 cjhndri wt 1 (2,1915% , ($2: "firm“? {a} "(if 0’4. 35‘“ Q 7S m mgQ (E Jews/($131,.--) 90 (p M "(1:11:01 MP1,, go (m9 at) ((0 cg) 3. (2 pt) If two vectors TL) and are equal, what are the relation between a and b (the magnitudes), and the relation betweenb a and b (the unit directions)? (P Cow» M {34% fiwrxcfiiQ ’ BC .1; {w 532%) f» " mtg/m 0m: £1130 , a «r J , I,“ n w "a tuba.“ §L3}J;«€)) 5: ,t 165“" he W want eiifea’ggm/é , Bonus. (1 pt) Who invented “vectors”? Cl 555 {K “Cffiya’gf m5 ‘tg; ”55:14:“? nggé), (1 pt) What are we going to learn this week? ...
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