Common perpendicular of two lines

[ydan87]

Hi there,
The two given lines:
1) x / 2 = (y-1) / 2 = z
2) x + 1 = y – 2 = (z + 4) / 2
I need to find the common perpendicular between them.
Though when I tried to calculate the distance between them, I get 0.

Can someone please help?

Thanks in advance

 

[LCKurtz]

Think about the cross product of their direction vectors.

 

[ydan87]

Easier than I thought! Thanks :)

 

[ydan87]

Direction vectors of lines 1 and 2: V1 = (2, 2, 1), V2 = (1, 1, 2)
V1 X V2 = (3, -3, 0)

Is it correct?

 

[HallsofIvy]

Yes, it is.