2011-09-20, 06:52 PM
COME NOAH, HADRIEL, I guess not 21 anymore....XTOTHEL and uhhh. Maybe Devil's Sunrise idk.
Okay so my teacher gave us an extra credit question.
Find the equation of a plane perpendicular (orthogonal) to another plane that also contains two other points in space.
We know the equation of the plane that we are making to be perpendicular, Ax + By + Cz = D, and we know the position/coordinations of the two points we're trying to make our new plane contain: (x[SUB]1[/SUB], y[SUB]1[/SUB], z[SUB]1[/SUB]) and (x[SUB]2[/SUB], y[SUB]2[/SUB], z[SUB]2[/SUB]).
This is about all the information I can explain to you, it's hard to explain really because you need to know how an XYZ plane coordinate system works to really even grasp this question. If needed, I can try to use paint to draw a picture of what I mean but I know it's gonna come out crappy.
To give a seperate example, if we had wanted to make a plane, let's call it Q just to name it, perpendicular to some other plane W, and we wanted Q to contain one point in space, (x[SUB]1[/SUB], y[SUB]1[/SUB], z[SUB]1[/SUB]), then the equation of that plane would be:
But our question is specific, with two points, so I need the equation of that plane, Q.
Good luck me.
Okay so my teacher gave us an extra credit question.
Find the equation of a plane perpendicular (orthogonal) to another plane that also contains two other points in space.
We know the equation of the plane that we are making to be perpendicular, Ax + By + Cz = D, and we know the position/coordinations of the two points we're trying to make our new plane contain: (x[SUB]1[/SUB], y[SUB]1[/SUB], z[SUB]1[/SUB]) and (x[SUB]2[/SUB], y[SUB]2[/SUB], z[SUB]2[/SUB]).
This is about all the information I can explain to you, it's hard to explain really because you need to know how an XYZ plane coordinate system works to really even grasp this question. If needed, I can try to use paint to draw a picture of what I mean but I know it's gonna come out crappy.
To give a seperate example, if we had wanted to make a plane, let's call it Q just to name it, perpendicular to some other plane W, and we wanted Q to contain one point in space, (x[SUB]1[/SUB], y[SUB]1[/SUB], z[SUB]1[/SUB]), then the equation of that plane would be:
Spoiler
But our question is specific, with two points, so I need the equation of that plane, Q.
Good luck me.