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Find the vector equation of the plane passing through the intersection of the planes 
and through the point (2, 1, 3)
Asked by Krishna Last Modified
Answer 
Vishaka Bhutia
Home Tutor
The equations of the planes are 
The equation of any plane through the intersection of the planes given in equations (1) and (2) is given by,
, where
The plane passes through the point (2, 1, 3). Therefore, its position vector is given by,
Substituting in equation (3), we obtain
Substituting 
in equation (3), we obtain
This is the vector equation of the required plane.
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