## DESCRIPTION ## Parametric equations: vector parametric lines ## ENDDESCRIPTION ## KEYWORDS('parametric', 'vector parametric lines') ## DBsubject('WeBWorK') ## DBchapter('WeBWorK Tutorial') ## DBsection('Fort Lewis Tutorial 2011') ## Date('01/30/2011') ## Author('Paul Pearson') ## Institution('Fort Lewis College') ## TitleText1('') ## EditionText1('') ## AuthorText1('') ## Section1('') ## Problem1('') ################################# # Initialization DOCUMENT(); loadMacros( "PGstandard.pl", "MathObjects.pl", "parserVectorUtils.pl", "parserParametricLine.pl", ); TEXT(beginproblem()); ################################# # Setup Context("Vector")->variables->are(t=>"Real"); $P = non_zero_point3D(-9,9,1);$V = non_zero_vector3D(-9,9,1); $Q = Point($P + $V);$particular = Line($P,$V,'t'); $general = ParametricLine($P,$V); ##################################### # Main text Context()->texStrings; BEGIN_TEXT (a) Find a vector parametric equation for the line that goes through the point $$P$$ when $$t = 0$$ and the point $$Q$$ when $$t = 1$$.$BR $$\vec{L}(t) =$$ \{ ans_rule(30) \} $BR$BR (b) Find any vector parametric equation for the line that goes through the points $$P$$ and $$Q$$. $BR $$\vec{L}(t) =$$ \{ ans_rule(30) \} END_TEXT Context()->normalStrings; ############################ # Answer evaluation$showPartialCorrectAnswers = 1; ANS( $particular->cmp() ); ANS($general->cmp() ); ############################ # Solution Context()->texStrings; BEGIN_SOLUTION ${PAR}SOLUTION:${PAR} Solution explanation goes here. END_SOLUTION Context()->normalStrings; COMMENT('MathObject version.'); ENDDOCUMENT();