A plane is defined by the equation: x - 7y - 18z = 0. Write the coordinates of 3 points on this plane.

Expert Answers

An illustration of the letter 'A' in a speech bubbles

The question states that you need to find the coordinates of 3 points on the plane x - 7y - 18z = 0

Let the x and y coordinates be 0

we get 0 - 0 - 18z = 0

=> z = 0

Therefore one point that lie son...

Unlock
This Answer Now

Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

Start your 48-Hour Free Trial

The question states that you need to find the coordinates of 3 points on the plane x - 7y - 18z = 0

Let the x and y coordinates be 0

we get 0 - 0 - 18z = 0

=> z = 0

Therefore one point that lie son the plain is ( 0, 0, 0)

Next let x = 1, y = 1

1 - 7 - 18z = 0

=> -6 - 18z = 0

=> -18z = 6

=> z = -6/18

=> z = -1/3

Another point that lies on the plain is (1, 1, -1/3)

Let x = 0 , y = 1

0 - 7 - 18z = 0

=> -18z = 7

=> z = -7 / 18

Another point that lies on the plane is (0 , 1 , -7/18)

We can in this way find any number of points that lie on the given plane. Just take any random values for two of the coordinates and calculate the third.

The coordinates of 3 points that lie on the plane are

( 0,0,0) , (1, 1, -1/3), (0 , 1 , -7/18)

Approved by eNotes Editorial Team