Q14 of 76 Page 493

In the following cases, find the distance of each of the given points from the corresponding given plane.

Point Plane


(2, 3, – 5) x + 2y – 2z = 9

Given point is (2,3,-5) and the plane is x + 2y – 2z = 9




= 3


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14

In the following cases, find the distance of each of the given points from the corresponding given plane.

Point Plane


(0, 0, 0) 3x – 4y + 12 z = 3

 14

In the following cases, find the distance of each of the given points from the corresponding given plane.

Point Plane


(3, – 2, 1) 2x – y + 2z + 3 = 0

 14

In the following cases, find the distance of each of the given points from the corresponding given plane.

Point Plane


(–6, 0, 0) 2x – 3y + 6z – 2 = 0

 1

Show that the line joining the origin to the point (2, 1, 1) is perpendicular to the line determined by the points (3, 5, –1), (4, 3, –1).