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geom3d[AreParallel] - test if two objects are parallel to each other
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Calling Sequence
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AreParallel(dseg1, dseg2, cond)
AreParallel(l1, l2, cond)
AreParallel(l1, p1, cond)
AreParallel(p1, p2, cond)
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Parameters
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dseg1, dseg2
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directed line segments
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l1, l2
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lines
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p1, p2
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planes
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cond
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(optional) a name
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Description
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The routine returns true if the two given objects are parallel to each other; false if they are not; and FAIL if it is unable to reach a conclusion.
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In case of FAIL, if the third optional argument is given, the condition that makes them parallel to each other is assigned to this argument.
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The command with(geom3d,AreParallel) allows the use of the abbreviated form of this command.
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Examples
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To view the results of the following example, copy and paste the commands and execute. Define two planes pp1, pp2
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![plane(pp1, l1*x+p1*y+n1*z+p1, [x, y, z])](/support/helpjp/helpview.aspx?si=5925/file03970/math123.png)
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![plane(pp2, l2*x+p2*y+n2*z+p2, [x, y, z])](/support/helpjp/helpview.aspx?si=5925/file03970/math127.png)
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Find the condition that makes pp1 and pp2 parallel to each other
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