Difference between revisions of "ImplicitPlane"

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Line 20: Line 20:
 
loadMacros(
 
loadMacros(
 
"PGstandard.pl",
 
"PGstandard.pl",
"PGunion.pl",
 
 
"MathObjects.pl",
 
"MathObjects.pl",
 
"parserImplicitPlane.pl",
 
"parserImplicitPlane.pl",

Revision as of 18:45, 28 October 2009

Planes Defined Implicitly: PG Code Snippet

This code snippet shows the PG code to evaluate answers that are planes defined implicitly by an equation.

Problem Techniques Index

PG problem file Explanation
DOCUMENT(); 

loadMacros(
  "PGstandard.pl",
  "MathObjects.pl",
  "parserImplicitPlane.pl",
  "parserVectorUtils.pl",
  "PGcourse.pl",
);

TEXT(beginproblem);

Initialization: In particular, we need to include the parserImplicitPlane.pl macro file.

Context("ImplicitPlane");
#  Vectors in the plane
$AB = non_zero_vector3D();
$AC = non_zero_vector3D(); while (areParallel $AB $AC) {$AC = non_zero_vector3D()}

#  The normal vector
$N = cross $AB $AC;
#  The points A, B and C
$A = non_zero_point3D();
$B = Point($A + $AB);
$C = Point($A + $AC);

Set-up: Create points and vectors. Make sure that the vectors are not parallel.

Context()->texStrings;
BEGIN_TEXT

An implicit equation for the plane passing through the points
\($A\), \($B\), and \($C\) is \{ans_rule(40)\}.

END_TEXT
Context()->normalStrings;

Question: self-explanatory.

ANS(ImplicitPlane($A,$N)->cmp);
$showPartialCorrectAnswers = 1;

ENDDOCUMENT();

Answer Evaluation: Just specify a point $A and a normal vector $N.

Problem Techniques Index