# What is the relation between lines x/1=y/2=z/3 and (x-1)/-2=(y-2)/-4=(z-3)/6?

1
by leenaroy13

2015-03-23T23:08:59+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
I suppose there is a mistake in typing in the last equation...  it is (z-3)/-6 ?? minus sign is missing ??

L1:    x/1 = y/2 = z/3  = m (let's say)
x = m,  y = 2m ,  z = 3 m
or  6 x = 3 y = 2 z

L2:   (x-1)/-2  = (y-2) /-4 = (x-3)/-6  = n
x = 1 - 2n ,    y = 2 - 4n = 2 (1- 2n)      and  z = 3 - 6 n = 3 (1 - 2n)
or    6 x  = 3 y = 2 z

Hence both represent the same straight line in 3 dimensional space.  They can represent two parallel straightlines in 3-d space.

click on thank you link pls
which option is correct?a.parallel b.intersecting c.skew d.incidence
parallel - is correct.