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Unformatted text preview: 3. (15 points) Let u =< 2,1,2 >, v = i  3j  k and let P(1,4,2) be a point. Find: a)The dot product of u and v. _ 2 . \ 1" l (Â» + 2. C.I) 2 32. =1~ b)A vector of magnitude 5 poinLing in the direction of u . }i h> ~ ,. 5" ~ .!::. 1 ~ oJ J + ~O __ ~ 3 __ ~ , ~\ c)A vector having magnitude three times thaL of u and pointing opposite u. .3 l.( ""'" d)An equation of the plane through P and perpendicular to v , (;< t,) ~( j_ 4 (1:1) o y.. ~ j '1::.l S e)A vector w such that u+2w=3v 2w= 3 V \A ,..", ..." 'IV = ~ L 3 f ~ ) 1. ..... , ( 5 ~I OJ S" ~ ) w "'l"2...
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 Spring '07
 Kim
 Math

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