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.

Question

Philoid · Accepted 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