M408MF09Assign4_Sol

# M408MF09Assign4_Sol - M408M Fall 2009 Assignment 4 Due...

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Unformatted text preview: M408M Fall 2009 Assignment 4 Due Thursday, October 1 Be sure that you have read and understood sections 13.3, 13.4, and 13.5 and worked the assigned text exercises before you complete this assignment. You must Show sufficient work in order to receive full credit for a problem. Please write legibly and label the problems clearly. Circle your answers when appropriate. Multiple papers must be stapled together. Write your name and the time of your discussion section on each page. Homework is to be turned in at the beginning of the discussion section. 1.(a) Find the angle between the diagonal of a cube and one of its edges. (b) Find the angle between the diagonal of a cube and the diagonal of one of its faces. 2. Suppose that 53 and b are non-zero vectors. (a) Under what circumstances is compab = compch (b) Under what circumstances is projag = projgd'? :1: — 1 — 5 1 3. Let L1 be the line given by symmetric equations y Z + a: — 2 -— 4 = 11—3 = Z — Determine whether the lines are parallel, intersecting7 or skew. and let L2 be the line given by symmetric equations 4. Find the equation of the plane through the point (—1.4, 2) and containing the line of intersection of the planes 4.17 — y + z : 2 and 21: + y — 22 = 3. MWKM— Assrxwwwf‘é SAL/J7me; ’4 {60 Wﬂ W {1120de 0— WMJC’Q— Snang p—c m w MWKA 3W 0&an do mug“: a W: a:+&3+0: (a) ’ " a L _ all. Maul “EH 7:7 "W =ﬂ5!I‘|{E" (/3562 wLMQSA/K MM uC H WW yaw», EM: :3“ “EULosgcille 6059 I“? Caseio 44%me bo’fLSe‘oﬂbeLk ) ﬂﬁuaz’h‘w- [as @059 , + erw IlCllcllaH ' 30Cstka cab: Wm? Mews W [12 0039 \$0) M Mfg: : Crumng 710‘ am? 1’?- Z MC “(AM HA W Maw. Ikbcmﬁagasgza wwwm , M OWE = WE =0 » WWW '— ong’LQ " JIM/am» WERE WPjﬂMﬂa’J (I 3 L mmwm 49,437 W 'WMFM 2.. :SMproLL. Ta kW W“ W¥4LLZW MM, Mlﬁv‘l‘waw qPMWL xqwéwaa 4! L. th :7 X:<H:+I (f Lap—)7 g=5~4t ~H 2“ _t:,7 Z:-I+St 4E+l =2+8S 4t—Q5 : .5520 v7 0 5246: 445 :7 -qt+35 rv! 57:3, v[;§-E:S+S S+~S> V L?- 4L1 wimpy (pwww Spoiwbaq mi“ my MMwwHa—«b Law wow WW 1W.F‘Am wwﬂbwzw ,«Luﬂasmwﬂ, MMM Lhwéﬁtzzl J ...
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## This note was uploaded on 11/08/2009 for the course M 408M taught by Professor Gilbert during the Fall '07 term at University of Texas.

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M408MF09Assign4_Sol - M408M Fall 2009 Assignment 4 Due...

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