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Question

Find the vector equation of the plane passing through (1, 2, 3) and perpendicular to the plane

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Solution

The position vector of the point (1, 2, 3) is

The direction ratios of the normal to the plane, , are 1, 2, and −5 and the normal vector is

The equation of a line passing through a point and perpendicular to the given plane is given by,


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