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Answer:
Step-by-step explanation:
Suppose we a point such that its distance from either the point
or
is the same.
Using this information we can formula:
distance AP = distance BP
first, let's find the distance from AP, using the distance formula.
similarly, we can find the distance BP
since both distances are exactly the same we can equate them
we can simplify it a bit squaring both sides, and getting rid of the subscripts.
what we have done here is formulated an equation which consists of any point P that will have the same distance from (3,4,-5) and (-2,1,4).
To put it more concretely,
This is the equation of the the plane from that consists of all points (P) from which the distance from both (3,4,-5) and (-2,1,4) are equal.