25 points help plz I need this
2 answers:
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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:
Answer:
Step-by-step explanation:
The equation actually looks like this
and filling in the info given:
which simplifies to
Orders of operation tells us that we need to take care of the exponential stuff first, so
V = 25,000(.3663573) and
V = $9158.93 which rounds to what is shown as the second choice down: $9,159.