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Tue Nov 8 15:17:41 2011 UTC (19 months, 1 week ago) by aubreyja
File size: 1286 byte(s)
Rogawski problems contributed by publisher WHFreeman. These are a subset of the problems available to instructors who use the Rogawski textbook. The remainder can be obtained from the publisher.

    1 ## DBsubject('Calculus')
2 ## DBchapter('Introduction to Differential Equations')
3 ## DBsection('Vectors in Three Dimensions')
4 ## KEYWORDS('calculus', 'parametric', 'vector', '3D', 'three dimensions')
5 ## TitleText1('Calculus: Early Transcendentals')
6 ## EditionText1('2')
7 ## AuthorText1('Rogawski')
8 ## Section1('12.2')
9 ## Problem1('1')
10 ## Author('Christopher Sira')
11 ## Institution('W.H.Freeman')
12
13 DOCUMENT();
18 $context = Context("Vector"); 19 20$a = Real(random(1,10,1));
21 $b = Real(random(1,10,1)); 22$c = Real(random(1,10,1));
23
24 $vec = Vector($a, $b,$c);
25
26 $sq =$a**2 + $b**2 +$c**2;
27 $ans = sqrt($sq);
28
29
30 Context()->texStrings;
31 BEGIN_TEXT
32 \{ beginproblem() \}
33 \{ textbook_ref_exact("Rogawski ET 2e", "12.2","1") \}
34 $PAR 35 Find the length of the vector $$\mathbf{v} = vec$$. 36$PAR
37 $$\| \mathbf{v} \|$$  = \{ans_rule()\}
38 END_TEXT
39 Context()->normalStrings;
40
41 ANS($ans->cmp); 42 43 Context()->texStrings; 44 SOLUTION(EV3(<<'END_SOLUTION')); 45$PAR
46 \$SOL
47 $$\| \mathbf{v} \| = \sqrt{\mathbf{v} \cdot \mathbf{v}} 48 = \sqrt{a \cdot a + b \cdot b + c \cdot c}=\sqrt{sq}$$.
49 END_SOLUTION
50
51 ENDDOCUMENT();
52
53