Q. The image of the point with position vector in the plane is

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Solution:

Let be the image of the point in the plane Then, is normal to the plane. Since, passes through and in normal to the given plane, therefore equation of is
image
Since, lies on the line , so let the position vector of
be
i.e.
Since, is the mid-point of , therefore position vector of is



Since, lies on the plane





Hence, the position vector of is .