View of /trunk/NationalProblemLibrary/Rochester/setVectors2DotProduct/UR_VC_1_14.pg

    1 ## DESCRIPTION
    2 ##   Scale a Vector
    3 ## ENDDESCRIPTION
    4 
    5 ## KEYWORDS('Scale', 'Unit', 'Vector')
    6 ## Tagged by nhamblet
    7 
    8 ## DBsubject('Calculus')
    9 ## DBchapter('Vectors and the Geometry of Space')
   10 ## DBsection('Vectors')
   11 ## Date('5/31/2000')
   12 ## Author('Joseph Neisendorfer')
   13 ## Institution('Rochester')
   14 ## TitleText1('')
   15 ## EditionText1('')
   16 ## AuthorText1('')
   17 ## Section1('')
   18 ## Problem1('')
   19 
   20 DOCUMENT();
   21 
   22 loadMacros(
   23 "PG.pl",
   24 "PGbasicmacros.pl",
   25 "PGchoicemacros.pl",
   26 "PGanswermacros.pl",
   27 "PGauxiliaryFunctions.pl"
   28 );
   29 
   30 TEXT(beginproblem());
   31 $showPartialCorrectAnswers = 1;
   32 
   33 $a = non_zero_random(-10, 10);
   34 $b = random(-10, 10);
   35 $c = random(-10, 10);
   36 
   37 $dist = sqrt(($a)**2 + ($b)**2 + ($c)**2);
   38 
   39 BEGIN_TEXT
   40 $PAR
   41 Find a unit vector in the same direction as \( {\mathbf a} \) = ($a, $b, $c).
   42 $PAR
   43 (\{ ans_rule(40) \},
   44 END_TEXT
   45 ANS(num_cmp($a/$dist));
   46 
   47 BEGIN_TEXT
   48 \{ ans_rule(40) \},
   49 END_TEXT
   50 ANS(num_cmp($b/$dist));
   51 
   52 BEGIN_TEXT
   53 \{ ans_rule(40) \})
   54 END_TEXT
   55 ANS(num_cmp($c/$dist));
   56 
   57 ENDDOCUMENT();