Help Exam in one hour Find equation of plane?

[cjavier]

Find an equation of the plane containing the two lines?
The lines are:

(x - 2) / -3 = (y + 1) / 2 = (z - 3) / 1 and (x - 8) / -1 = (y + 5) / -2 = (z -1) / 4

 

[chiro]

Find an equation of the plane containing the two lines?
The lines are:

(x - 2) / -3 = (y + 1) / 2 = (z - 3) / 1 and (x - 8) / -1 = (y + 5) / -2 = (z -1) / 4

Can you find the direction vector of both lines? What does the cross product of two vectors give us with respect to information about the plane?

 

[cjavier]

Can you find the direction vector of both lines? What does the cross product of two vectors give us with respect to information about the plane?

Before I dive in can I clarify, the direction vector of line one is <-3, 2, 1> and line 2 is <-1, -2, 4> and by taking the cross product I find the normal vector of the plane. With this normal vector, I can take a point, either (2, -1, 3) OR (8, -5, 1) and use the normal vector to find the equation of the plane?