#Geometry
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- In the figure, it is represented, in an o.n. Oxyz the cube, [ABCDEFGH] (point E is not shown in the figure).
It is known that: point F has coordinates (1,3,-4); vector FA has coordinates (2,3,6); the equation 6x+2y-3z+25=0 defines the HCD plane.
8.1. Write a Cartesian equation of the FGH plane.
8.2. Write an equation of the DAF plane.
8.3. Determine the coordinates of point E.
(When solving this item, you must start by defining, through a condition, the straight line FE)
in text the exercise 👍
What have you tried so far? What tools/facts do you know that might be relevant to this problem? And do you know how to find point A?
Cuz it takes 3 points to cook up a plane
a perpendicular vector to the plane
but idk