CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Find the Cartesian equation of the following planes:
r(^i+^j^k)=2.

Open in App
Solution

It is given that equation of the plane is
r.(^i+^j^k)=2.....(1)
For any arbitrary point P(x,y,z) on the plane, position vector r is given by,
r=x^i+y^jz^k
Substituting the value of r in equation (1), we obtain
(x^i+y^jz^k).(x^i+y^jz^k)=2
x+yz=2
This is the Cartesian equation of the plane.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
What Is an Acid and a Base?
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon