I need help on this pleaseee
2 answers:
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Answer:
(-1, -5)
Step-by-step explanation:
1. We must calculate x, for that we must substitute y, so we have:
5x=9x+4
2. Now we solve the equation.
5x-9x=4
-4x=4
x=-1
3. Now we must calculate y
y=5x
y=5(-1)
y=-5
And the answer is (-1, -5)
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: