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# sol3 - Math 321 Quiz 3 Name Q 1(8 Suppose ‘3 —b and are...

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Unformatted text preview: Math 321 Quiz 3 Name Q; 1. (8 Suppose ‘3, —b) and ? are vectors in 3d space. Given the condition 7? x ?"= b , answer the following questions. 7113 Wed.“ ‘3 we WV} . _ _ f x a ‘ 7 ‘u x .56. l ' V Y‘ r 5 . I I C" (a) (1 pt) Can 7, b and i be in 4d Space? Explain Why? J m w ill/e fly“ Me, “Hm 0%661‘g ‘Bcl SW W (b) (1 pt) Which relations'are alwa 8 true ﬂ ___. 70 3M6 (1)7l?(2)7€l?(3)?lb(4)(fx7)l%’ Mswe yg (C) pt) Considering (b), explain why ‘3? is in the ‘2— 23-" l l "as by {7, 7 x 3}. ' (So We‘know>We can say i} = a? + ,8 X 3)), whgre a, ,8 are real numbers.) '1 EA}, 40,7974 hue-A4 pm pwpﬁo if. _ , _, _, V I) V ~ - "*7 ~9 ,, f HE, w’xéiw a w! w are a; 5“as 0% (1 Pt) suppose 7 = 017 + ﬂ X 6*) Explain Whatever the value 0: takes, I :7 f \ the value of 7 X ? dOes not change. ' * -. . -‘X. I\$ 1“ . '~ . I \ a“ 253%): Mam {2’ (3x 073)) - W Pa” by '0'? M Z537, ’ (e) (2 pt) Suppose 7? 2 a}? +ﬂ x 7).. Find ﬂ; given that E) X X Y?) = ‘ (7.7)?— (-3.7)? M) '47 «7 *7) /> ' l amt/Baxtbxa) ( : H675? 1:1 WW? ﬁt 2;? (f) (2 pt) Use the values you ﬁndfor a and ,6 in ? = a? + 3 X 7) to show ax?=?, . v) v Xx C¢§>+Tgfta>¥a>)' :. +15%). fxé'fx: a /> «7 Z 755)» (573% 542 - 2. (2 pt) Which of the following is.correct?__£@_ l (a) (ax7)xz>=(a>.~a)7~(?.e)a> (b) (7x?)x2>=(7.e)a>_(a>ra>)? (a) (ﬁx?)x?=(ﬁ.?)7—(7-7)? ~ . . . —+ ' Bonus (1 pt) Use Emstem’s notat10n to show that (I? X b ) - e‘k.> = eijkaibj. mfz'lmawbs‘é} W éw‘o‘mma‘a ' Laiflf‘él = (éw‘amméxa a ’2. ézymawli _ Bonds. "(1 pt) What is “substitution rule” we learned in class? ngéijQi ...
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sol3 - Math 321 Quiz 3 Name Q 1(8 Suppose ‘3 —b and are...

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