Find the Cartesian and vector equations of the planes through the | Filo
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Class 12

Math

3D Geometry

Three Dimensional Geometry

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Find the Cartesian and vector equations of the planes through the line of intersection of the planes and , which are at a unit distance from the origin.

Solution:
The equations of the given planes are
and
and

Any plane through their intersection is
..........(i)

which is at a unit distance from the origin.   .... (given) 

So, the required planes are
and

In vector form, they are
and .
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