Over 20 views and none of you have any ideas
Anyone got any comments at all?
Hi, another vector question I'm afraid
I have the 4 lines:
, .
, .
I need to show that all 4 lines lie in a single plane and fine the Cartesian Equation of the plane.
The Cartesian equation of a plane is in the form , so from this I can set up the following equations:
From these I can get all in terms of .
,
Putting these values back into the original Cartesian Equation I got:
, which can be simplified to .
Is this correct so far or have I gone horribly wrong?
Thanks
You are correct so far.
With each line there is a point and a direction vector
Test each line with with respect to the plane .
Does the point satisify that equation?
Is the direction vector perpendicular to
If the answer is yes in all cases you are done.