What is the relation between lines x/1=y/2=z/3 and (x-1)/-2=(y-2)/-4=(z-3)/6?
Answers
Answered by
1
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.
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.
kvnmurty:
click on thank you link pls
which option is correct?a.parallel b.intersecting c.skew d.incidence
parallel - is correct.
Similar questions