19. Find the vector equation of the line passing through (1, 2, 3) and parallel to the planes and .
A point through which line passes
it can be seen that normals of the planes are
since the line is parallel to both planes, its parallel vector will be perpendicular to normals of both planes.
So, a vector perpendicular to both these normal vector is
Now a line which passes through and parallels to is
So the required line is
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