Can anyone help me with the following question on geometry and vectors:
The line L through the origin is normal to the plane 2x-y-z=4. Find the point in which L meets the plane x+y-2z=2.
Thanks to those who can help.
Hello, smiler!
I'm sure you know enough of the basic to solve this.
You just have to put it all together . . .
The line through the origin is normal to the plane
Find the point in which meets the plane
The plane has the normal vector: .
This is the direction vector of the line through the origin.
Its equations are: . . [1]
To find its intersection with the plane: . . [2]
. . substitute [1] into [2]: .
Substitute into [1] and we have: .