Distance Between Two Non Parallel Lines
Line 1 :
x = 2 + u, y = 1 + 6u, z = 2u
Line 2 :
2 + 4v, y = 5 + 13v, z = 1 + 6v
ne
u
ne
v
As in
all “shortest d stance” problems, the shortest l ne
connecting
and
is perpendicular to both. Start by
separating P and Q from the directional vectors that
they lie on.
Where points P and Q are
and
respectively
and vectors
and
are
and
respectively.
d pro
d
u
v
d
Vector
is easy to calculate. Notice it is simply the
This is the end of the preview.
Sign up
to
access the rest of the document.
 Fall '08
 KLEMES
 Math, Addition, Vector Space, Vector Motors

Click to edit the document details