Find the coordinates of the foot of the perpendicular drawn from t | Filo
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Class 12

Math

3D Geometry

Three Dimensional Geometry

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Find the coordinates of the foot of the perpendicular drawn from the origin to the plane .

Solution:
Given equation is ........(i)
Direction ratios of normal to the plane are .

Equation of the line through and perpendicular to plane (i) is
(say) ........(ii)

A general point on (ii) is
If this point lies on plane(i), then
Hence, the required point is .
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