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Purple Comet Problems
2017 Purple Comet Problems
18
Purple Comet 2017 HS problem 18
Purple Comet 2017 HS problem 18
Source:
March 19, 2020
analytic geometry
Problem Statement
In the
3
3
3
-dimensional coordinate space nd the distance from the point
(
36
,
36
,
36
)
(36, 36, 36)
(
36
,
36
,
36
)
to the plane that passes through the points
(
336
,
36
,
36
)
(336, 36, 36)
(
336
,
36
,
36
)
,
(
36
,
636
,
36
)
(36, 636, 36)
(
36
,
636
,
36
)
, and
(
36
,
36
,
336
)
(36, 36, 336)
(
36
,
36
,
336
)
.
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