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economics
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Homework Statement
Plane passes through points (a,b,c) and (e,f,g) parallel to x-axis
Find the equation of plane Ax+By+Cz+D=0
General question for this--(a,b,c) and (e,f,g) can be any points in space
Homework Equations
Below
The Attempt at a Solution
First, I find the vector <e-a,f-b,g-c>
Then, I know parallel to x-axis implies that direction vector is <1,0,0>
Next, I do cross product between first vector and second vector. I would then get <i,j,k>.
So, how do i use this information to get equation of the plane? Do i use <i,j,k> from cross product as A,B,C, in the equation of the plane? How do I find D? Is this attempt even correct?
Thanks for any info. Calc III is awesome!