Vector Graph Tool

Shows a triangle tool within the GraphTool.

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Complete Code

Download file: GraphToolVectors.pg

POD for Macro Files

PG problem file

Explanation

DOCUMENT();

loadMacros('PGstandard.pl', 'PGML.pl', 'parserGraphTool.pl', 'PGcourse.pl');

Preamble

Load the parserGraphTool.pl macro to be able to use the GraphTool.

$vx1 = random(-8, 8);
$vy1 = random(-8, 8);

$gt = GraphTool("{vector, solid, (0, 0), ($vx1, $vy1)}")
    ->with(availableTools => [ 'VectorTool', 'FillTool', 'SolidDashTool' ]);

Setup

This problem asks the student to graph the random vector <$vx1, $vy1>. Set this as the correct answer by passing `{ vector, solid (0,0), ($vx1, $vx2) }to theGraphTool` method.

The checker will give credit for any vector that is graphed with the same length and direction. The graphed vector’s initial point does not need to be the origin.

BEGIN_PGML
Graph the vector [`\langle[$vx1], [$vy1]\rangle`].

[_]{$gt}
END_PGML

Statement

The question asks the student to graph the given vector. The code [_]{$gt} inserts the graph tool.

BEGIN_PGML_SOLUTION
A correct answer is

[!A graph of the vector from (0,0) to ([$vx1],[$vy1])!]{$gt}

But any vector with the same length and in the same direction would be correct as well.
END_PGML_SOLUTION

ENDDOCUMENT();

Solution

To show the graph with alternate text we use the PGML image construct [! !]{$gt}, where the alternate text is placed within the [! !].