Itdemandsdistinctintersectionsandthere

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Unformatted text preview: 
with






0
<=
s

<=
1
 
 The
two
lines
with
t
and
u
taking
any
values
will
intersect
at
a
point
where
p
+t*r
=
q
+u*s.
 This
point
is
found
by
solving
for
t
and
u.

To
find
t,
we
can
take
the
cross
product
of
each
 line
segment
with
s:
 
 (p
+
t*r)
x
s
=
(q
+
u*s)
x
s
=
q
x
s
+
u*(s
x
s)


=
q
x
s


(since
s
x
s
=
0)...
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