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Math 200-104 Midterm _1 Solutions

Math 200-104 Midterm _1 Solutions - Name v St 1 No books...

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Unformatted text preview: Name: ' v St 1;: No books, calculators or notes allowed. Put ﬁnal answers in the boxes, Show ghouaL work 41 Jui‘k‘gy \fctxf thS’cAefC ~e ’~> . V and w be vectors 1n 3—space. 1(30mcfks‘) Let T}, What geomeirio conclusions can you draw from each of the following? (a)?v>=%(1?+3) (b) 3-?<o. '(C) 3X?=O (e) [kxwy' 2: (:10 Marl“) (a) Find the equation of the sphere with centre (5 5 2) with radius 5 - (b) Describe its intersection with the three coordinate pianes [Fo( exo~‘>‘&, l§ ﬂ: t( ccrrcfc) gﬂ/e “(‘3’ Q‘dkrercmcl Vac! (LIL(] 3(30 marks) Giveﬂthe plar'xesU x + 2y % 22 :17 and V 53:.“ 2y _ Z ﬁ a) Find the equation of the plane P through the origin which is per~ V pendicular to both the planes U and V. g C (02 O Q MUCJFLQ «LL Hkoﬁ er (chﬁaj , x P QMJ V! g m 1m WW gmi L7 u I 73(537 31x~<>37+L(g.~/Q 1 I 3(5) 1&2 . V7 7 I : wad-9c:- L gL ’L , f KQXJX C KEKL _ QKQJK O V'kd/ v (i D 'v M AV UV \ﬁelu \itéx ’ L 2: X€X‘€¥(O - (e~€)~ (0 —i) ELLE}; W] LSQC XL .f, C C”: (b) i ...
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Math 200-104 Midterm _1 Solutions - Name v St 1 No books...

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