Q7 of 181 Page 1217

Show that the planes 2x – 2y + 4z + 5 = 0 and 3x – 3y + 6z - 1 = 0 are parallel.

To show that planes are parallel


On comparing with the standard equation of a plane




So,



Hence proved that planes are parallel.


More from this chapter

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5

Show that each of the following pairs of planes are at right angles:

(i) 3x + 4y - 5z = 7 and 2x + 6y + 6z + 7 = 0


(ii) x - 2y + 4z = 10 and 18x + 17y + 4z = 49


 6

Prove that the plane 2x + 2y + 4z = 9 is perpendicular to each of the planes x + 2y + 2z – 7 = 0 and 5x + 6y + 7z = 23.

 8

Find the value of λ for which the planes x – 4y + λz + 3 = 0 and 2x + 2y + 3z = 5 are perpendicular to each other.

 9

Write the equation of the plane passing through the origin and parallel to the plane 5x - 3y + 7z + 11 = 0.