Vector-valued Parametric Line Segment--Specific

A Vector-value parametric line segment for a specific values of the parameter.

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Complete Code

Download file: VectorLineSegment2.pg

POD for Macro Files

PG problem file

Explanation

DOCUMENT();
loadMacros('PGstandard.pl', 'PGML.pl', 'parserVectorUtils.pl', 'PGcourse.pl');

Preamble

The macro parseVectorUtils.pl provides random points and vectors.

Context("Vector");
Context()->variables->are(t => "Real");

$P     = non_zero_point3D();
$disp  = non_zero_vector3D();
$Q     = Point($P + $disp);
$speed = random(3, 9, 1);

$ans = Compute("$P + $speed *t * $disp/norm($disp)");

Setup

In this case, there is only a single answer, so we can just enter the correct expression for the vector-valued function.

BEGIN_PGML
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.  Assume that [`x, y,`] and [`z`] are measured
in cm.  Do not enter units with your answers.

Find the vector parametric equation for the position of the object.
[` \vec{r}(t) = `] [____]{$ans}
END_PGML

Statement

This is the problem statement in PGML. 
BEGIN_PGML_SOLUTION
Solution explanation goes here.
END_PGML_SOLUTION

ENDDOCUMENT();

Solution

A solution should be provided here.