Answer:
Skew lines
Step-by-step explanation:
Two lines are given and we have to find out whether they are parallel, skew, or intersecting
[tex]x =t , y = 1 + 2t, z = 2 + 3t, l2 : \\ x = 3 -4s,, y = 2 -3s, z = 1 + 2s[/tex]
direction ratios of these two lines are
(1,2,3) and (-4, -3,2) (coefficient of parameters)
Obviously these two are neither equal nor proportional
Hence we get not parallel lines. If these intersect there must be a common point making
[tex]t= 3-4s: 1+2t =2-3s and 2 + 3t =1+2s[/tex]
Consider first two equation
[tex]t+4s =3\\2t+3s = 1\\2t+8s = 6\\-5s =-5\\s=1[/tex]
when s=1, t = -1
Let us check whether these two values satisfy the third equation
2+3t = -1 and 1+2s = 1+2 =3
Not equal. so there is no common point between them
These two are skew lines
