15. Find the equation of the plane passing through the line of intersection of the planes and and parallel to x-axis.
So, the given planes are:
The equation of any plane passing through the line of intersection of these planes is
Its direction ratios are and = 0
The required plane is parallel to the x-axis.
Therefore, its normal is perpendicular to the x-axis.
The direction ratios of the x-axis are 1,0, and 0.
Substituting in equation (1), we obtain
So, the Cartesian equation is .
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