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geom3d[AreCoplanar] - test if the given objects are on the same plane
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Calling Sequence
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AreCoplanar(A, B, C, D)
AreCoplanar(l1, l2)
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Parameters
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A, B, C, D
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points
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l1, l2
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lines
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Description
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The routine returns true if the four given points or two given lines are coplanar (i.e., they are on the same plane); false if they are not; and FAIL if it is unable to reach a conclusion.
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The command with(geom3d,AreCoplanar) allows the use of the abbreviated form of this command.
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Examples
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![plane(p, [A, B, C])](/support/helpjp/helpview.aspx?si=5436/file03968/math81.png)
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Generate a random point on p
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Hence, A, B, C and E must be on the same plane
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![line(l1, [o, [1, 1/2, 1/3]])](/support/helpjp/helpview.aspx?si=5436/file03968/math107.png)
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![plane(p1, 3*x-4*y+5*z = 10, [x, y, z])](/support/helpjp/helpview.aspx?si=5436/file03968/math111.png) ![plane(p2, 2*x+2*y-3*z = 4, [x, y, z])](/support/helpjp/helpview.aspx?si=5436/file03968/math112.png)
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![line(l2, [p1, p2])](/support/helpjp/helpview.aspx?si=5436/file03968/math116.png)
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