Solufi oos MA 242Test1 VersionI NO WORK NO CREDIT from 6 5 3 to eachof thefollowing 1 5 points Findthedistance a the xy plane 3 b theyz plane O c t h ex a x i s f oa y A yi t x o i esoio Q e a z s o rG o 4 2 10 points Find the parametricequationsof the line through the point 2 I 5 and parallel to v 2i 1j 4k z I X Yarct 1 roc Z zotc thevectors 0 2 0 and 0 1 1 Findthe exactanswer 3 10points Findtheanglebetween in degreesfor 2 points Extra Credit Rememberno calculatorsareallowed on tests i a b F apl lr f 1Ot2 c z 2 1 J Q u C r ed Cc sG J2 I r r 7 4 25points Giventhevectorsa 3 I 4 andb 2 6 3 find the following a 2a F 1 1 t b a b gv l 5 1 t lul frl I I e a b Ltr 3 r t u b t f axb 2 l J j I I z 6 11 j a z t c i 6 xd i 3 a a 21 1 t lLY g bxa 21 11 J h Are a and b orthoqonal Explainyour answer Sos d E o o i Are a and b parallel Explain your answer ruc FxB d t t I f 5 15points Find the equationof theplanethatcontainsthe pointsA 1 1 0 B 1 4 2 andC 2 2 1 1 2 c tI a 3 1 2 rl o 7 Ad X AL r J a I o z in s er f J c l t I l I 1 uz jt q r1 I r l 3 k C c L J v O 6 15 points Given the accelerationvectora t i j gt anOthe initial positionr 0 9i and tpea zrrq rt V L j f Ft Lt f ft L t1 B 0 5 r l i G Pr l 342L i z T I 7 L0 points Find a vector equationof the line tangentto the curver t tsint cost et at the point 0 1 1 r t t St tsfco S l5 r r O t j occwr r o L e O l I o r r ctc o t l 8 10points Findthearclengthof thecurver t r r 3 nps l Car c J tJ r from r I to t 2 L ter r JI f L il 1 2 I I vz t
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