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.
The plane passes through the point (1,2, – 4)
A vector in a direction perpendicular to
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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