Vector Equation for Plan Containing Two Lines

[menal]

Homework Statement

Determine a vector equation for the plan that contains the following two lines:
L1=(4,-3,5)+t(2,0,-3) and L2=(4,-3,5)+(5,1,-1)

The Attempt at a Solution

I tried finding the point of intersection, but that was wrong. I am completely lost.

 

[SammyS]

Homework Statement

Determine a vector equation for the plan that contains the following two lines:
L1=(4,-3,5)+t(2,0,-3) and L2=(4,-3,5)+(5,1,-1)

The Attempt at a Solution

I tried finding the point of intersection, but that was wrong. I'm completely lost.

Are you missing a parameter from L2 ?

Sould it be something like L2=(4,-3,5)+s(5,1,-1) ?

 

[lanedance]

point of intersection is not a bad start - show your work

however why not find 3 points on the lines (2 on one and one on the other), this should be enough to define the equation of your plane

how do you plan to define the plane?

 

[menal]

yes! sorry! din realize that i was issing the "s"

 

[SammyS]

The point of intersection looks obvious.

 

[menal]

(4,-3,5) right?

 

[SammyS]

Right.

 

[menal]

alright so the direction would be:
a=(2,0,-3)
b=(5,1,-1)

and a point is: (4,-3,5)
so the final equation would be:
r=(4,-3,5)+s(2,0,-3)+t(5,1,-1)
is that correct?

 

[SammyS]

Looks good to me.