VectorValuedFunctions
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Vector Valued Functions as Answers
This shows the PG code to check student answers that are vectors whose components are formulas.
- Example 1: Vector Parametric Lines
Example 1: Vector Parametric Lines
| PG problem file | Explanation |
|---|---|
DOCUMENT(); loadMacros( "PGstandard.pl", "MathObjects.pl", "parserVectorUtils.pl", "parserParametricLine.pl", "answerCustom.pl", "PGcourse.pl", ); TEXT(beginproblem()); |
Initialization:
To do ..(what you are doing)........., we don't have to change the
tagging and documentation section of the problem file.
In the initialization section, we need to include the macros file |
Context("Vector");
Context()->variables->are(t=>"Real");
$P = non_zero_point3D();
$V = non_zero_vector3D();
$Q = Point($P + $V);
$speed = random(3,9,1);
|
Setup:
We specify that the Context should be Notes: on using this and related Contexts. |
Context()->texStrings;
BEGIN_TEXT
A particle starts at the point \( P = $P \)
when \( t = 0 \) and moves along a straight line
toward \( Q = $Q \) at a speed of \( $speed \)
cm/sec.
$BR
$BR
(a) Find any vector parametric equation for the
line through points \( P \) and \( Q \).
\( L(t) = \) \{ ans_rule(40) \}
$BR
$BR
(b) Find a vector parametric equation
for the position of the object.
$BR
\( \vec{r}(t) = \) \{ans_rule(40)\}
END_TEXT
Context()->normalStrings;
|
Main Text: The problem text section of the file is as we'd expect. |
$showPartialCorrectAnswers = 1;
$T = Formula("$speed * t / norm($V)");
$L = $P + $T * $V;
ANS( ParametricLine("$L")->cmp() );
sub mycheck {
my ($correct, $student, $ansHash) = @_;
if (
($correct . i == $student . i) &&
($correct . j == $student . j) &&
($correct . k == $student . k)
)
{ return 1; } else { return 0; }
}
ANS( custom_cmp( $L, ~~&mycheck, showCoordinateHints=>1 ) );
ENDDOCUMENT();
|
Answer Evaluation: For more on custom answer evaluators, see CustomAnswerCheckers and answerCustom.pl.html |
- POD documentation: parserParametricLine.pl.html
- PG macro: parserParametricLine.pl
- POD documentation: answerCustom.pl.html
- PG macro: answerCustom.pl
