Lina Z.

asked • 01/11/20

True, or False?

Suppose distance from a point to a given segment is defined in such a way that the distance will always be the length of the shortest segment connecting the point to any point on the given segment. Let PQ be a segment in space. The locus of points of distance 3 units to the segment is a cylinder.

True, or False?

1 Expert Answer

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David F. answered • 01/11/20

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False.


The shape would be an oval. I tried to draw the shape here (please excuse the quality of the drawing).

___________

/ \

| P ----Q |

\ /

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David Facinelli

Fort Lauderdale, FL

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Lina Z.

Thank you!
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01/11/20

Mark M.

Since the locus is in space, it is in three dimensions. The object is a cylinder with a hemisphere at each end.
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01/11/20

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