Update the Vector graph tool as the functionality recently changed.

Also, add a Line Segment tool, which was also just added.

Author: pstaabp

tutorial/sample-problems/Geometry/LineSegmentGraphTool.pg

@@ -0,0 +1,65 @@
+## DESCRIPTION
+## Shows a triangle tool within the GraphTool.
+## ENDDESCRIPTION
+
+## DBsubject(WeBWorK)
+## DBchapter(Sample Problems)
+## DBsection(Graph Tool)
+## Date(02/25/2025)
+## Institution(Missouri Western)
+## Author(Glenn Rice)
+## MO(1)
+## KEYWORDS('graph tool', 'vectors')
+
+#:% name = Line Segment Graph Tool
+#:% type = Sample
+#:% subject = [geometry]
+#:% categories = [graph, graphtool]
+#:% see_also = [VectorGraphTool.pg, TriangleGraphTool.pg, QuadrilateralGraphTool.pg]
+
+#:% section = preamble
+#: Load the PODLINK('parserGraphTool.pl') macro to be able to use the GraphTool.
+DOCUMENT();
+
+loadMacros('PGstandard.pl', 'PGML.pl', 'parserGraphTool.pl', 'PGcourse.pl');
+
+#:% section = setup
+#: This problem first finds two points with unequal x-values and unequal y-values.
+#: Below we will ask to drap the line segment between these two and add the correct answer
+#: `{ segment, solid, ($sx1, $sy1), ($sx2, $sy2) }` creates this line segment as a solid line.
+#:
+#:
+#: The line segment must have the given the endpoints. 
+#:
+#: Mulitple line segments can be added to the graph tool, but note that there is a 
+#: Triangle Graph Tool, PROBLINK('TriangleGraphTool.pg') and a Quadrilateral Graph too,
+#: PROBLINK('QuadrilateralGraphTool.pg') as well.
+$sx1 = random(-8, 8);
+$sy1 = random(-8, 8);
+do { $sx2 = random(-8, 8); $sy2 = random(-8, 8); }
+    until $sx2 != $sx1 || $sy2 != $sy1;
+
+$gt = GraphTool("{segment, solid, ($sx1, $sy1), ($sx2, $sy2)}",)
+    ->with(availableTools => [ 'SegmentTool', 'FillTool', 'SolidDashTool' ]);
+
+#:% section = statement
+#: First, ask the question with the given points.  Then add the `[_]{$gt}` to produce
+#: the graph tool within the problem.
+BEGIN_PGML
+Graph the line segment between the points [`([$sx1], [$sy1])`] and
+[`([$sx2], [$sy2])`].
+
+[_]{$gt}
+END_PGML
+
+#:% section = solution
+#: The important thing to note is that it is simple to add the correct graph using the
+#: method `generateAnswerGraph` as shown in the solution here.  The PGML directive [ ]*
+#: needs a * for the graph tool to be rendered correctly.
+BEGIN_PGML_SOLUTION
+The correct answer is
+
+[$gt->generateAnswerGraph]*
+END_PGML_SOLUTION
+
+ENDDOCUMENT();

tutorial/sample-problems/VectorCalc/GraphToolVectors.pg

@@ -23,34 +23,38 @@ DOCUMENT();
 loadMacros('PGstandard.pl', 'PGML.pl', 'parserGraphTool.pl', 'PGcourse.pl');
 
 #:% section = setup
-#: This finds three unique random points and sets up the GraphTool.  The line
-#: `{ vector, solid, ($x1, $y1), ($x2, $y2) }` creates a vector from ($x1, $x2)
-#: to ($x2, $y2) as a solid line.
-$x1 = random(-8, 8);
-$y1 = random(-8, 8);
-do { $x2 = random(-8, 8); $y2 = random(-8, 8); } until $x2 != $x1 || $y2 != $y1;
-
-$gt = GraphTool("{vector, solid, ($x1, $y1), ($x2, $y2)}")
-    ->with(availableTools => [ 'VectorTool', 'FillTool', 'SolidDashTool' ]);
+#: This problem asks for a vector with random endpoint $vx1, $vy1.  Create this with 
+#: `{ vector, solid (0,0), ($vx1, $vx2) }`.
+#:
+#: The answer check will give credit for a vector with same length and point in the 
+#: same direction.  The starting point does not need to be the origin. 
+$vx1 = random(-8, 8);
+$vy1 = random(-8, 8);
+
+$gt = GraphTool(
+    "{vector, solid, (0, 0), ($vx1, $vy1)}"
+)->with(
+    availableTools => ['VectorTool', 'FillTool', 'SolidDashTool' ]
+);
 
 #:% section = statement
 #: First, ask the question with the given points.  Then add the `[_]{$gt}` to produce
 #: the graph tool within the problem.
 BEGIN_PGML
-Graph the vector with initial point [`([$x1],[$y1])`] and terminal point
-[`([$x2],[$y2])`].
+Graph the vector [`\langle[$vx1], [$vy1]\rangle`].
 
 [_]{$gt}
 END_PGML
 
 #:% section = solution
 #: The important thing to note is that it is simple to add the correct graph using the
 #: method `generateAnswerGraph` as shown in the solution here.  The PGML directive [ ]*
-#: needs a * for the HTML version to be rendered correctly.
+#: needs a * for the graph tool to be rendered correctly.
 BEGIN_PGML_SOLUTION
-The correct answer is
-
+A correct answer is
 [$gt->generateAnswerGraph]*
+
+But any vector with the same length and in the same direction would be correct as well.
 END_PGML_SOLUTION
 
 ENDDOCUMENT();