Q. 18

Find the vector and Cartesian forms of the equation of the plane passing through the point (1, 2, – 4) and parallel to the lines and Also, find the distance of the point (9, – 8, – 10) from the plane thus obtained.

Answer :

The plane passes through the point (1,2, – 4)

A vector in a direction perpendicular to


and


is




Equation of the plane is (




Substituting , we get the Cartesian form as


– 9x + 8y – z = 11


The distance of the point (9, – 8, – 10) from the plane



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