Q3 of 230 Page 29

Show that the following planes are at right angles :

and

Given planes, and


We know that planes and are perpendicular if


We have and


Now,



Hence, the two given planes are perpendicular.


More from this chapter

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2

Find the angle between the planes :

2x – 3y + 4z = 1 and –x + y = 4

 2

Find the angle between the planes :

2x + y – 2z = 5 and 3x – 6y – 2z = 7

 3

Show that the following planes are at right angles :

x – 2y + 4z = 10 and 18x + 17y + 4z = 49

 4

Determine the value of λ for which the following planes are perpendicular to each other.

and