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  1. mathematics
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  3. (a) show that the lines r 1 (t) = (2,1,?4) + t(?1,

(a) Show that the lines r 1 (t) = (2,1,?4) + t(?1,1,?1) and r 2 (s)...

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Question

Basic Math


(a) Show that the lines
r 1 (t) = (2,1,?4) + t(?1,1,?1) and r 2 (s) = (1,0,0) +s(0,1,?2)
are skew.
(b) The two lines in (a) lie in parallel planes. Find equations forthese two planes. Express your
answer in the form ax+by+cz +d = 0. [Hint: The two planes willshare a normal vector n. How would one find n?]
would one find n?]

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