Write a vector equation and a scalar equation of the plane containing the lines:

[x, y, z] = [-2, 3, 12] + s[-2, 1 , 5] and
[x, y, z] = [1, -4, 4] + t[-6, 3, 15]

Question

Write a vector equation and a scalar equation of the plane containing the lines: 

[x, y, z] = [-2, 3, 12] + s[-2, 1 , 5] and 
[x, y, z] = [1, -4, 4] + t[-6, 3, 15]

loser66 · Answer

Woah.... I got the weird answer so that I dare not to say anything. let tag other
@calculusxy @amistre64

loser66 · Answer

@zepdrix @mathslover @whpalmer4

loser66 · Answer

All are sleeping, Ok, let me try once
Let L1 is line 1, the direction of the L1 (-2,1,5)
L2 has direction (-6,3,15) 
We can see that L2 is a multiple of L1--> the plane containing those lines will have the normal vector (1, -3,1)
I just take dot product of (-2,1,5) with $\vec n (x, y, z)$ and choose (1,-3,1) 
we have normal vector 
have a line,
we can write the equation of the plane, right?
You can continue from here, right?

anonymous · Answer

Hey I really appeciate the help but I already closed this a while ago because I already figured it out. :P I did it a little differently though.