We want to build a swimming pool that is 2m by 6m. On our page it measured out to be 8cm by 24cm. What is tge scale that can be
1 answer:
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Extract the normal vectors from the given planes:
(which are unique up to their signs, meaning either or
are valid choices for the normal vector)
The third plane must be perpendicular to both these given planes, which means it would be parallel to both and
, which in turn means its own normal vector
should be perpendicular to both
and
.
Enter the cross product:
or (4, 5, 3), which also works.
The given plane passes through (-1, 1, 4), so its equation is
Simplify: