Question #194ef
1 Answer
Jan 23, 2018
They are parallel and the distance between them is
Explanation:
the given lines can be written as follows :
L1 = <2,3,4> + t <-1,2,1> = (x1 ,y1 ,z1) + t * (a,b,c)
L2 = <3,1,4> + t <3,-6,-3> = (x2 ,y2 ,z2) + t* (d,e,f)
Two lines are parallel if their direction ratios(known ad DR's) are proportional to each other.
<a,b,c> are the DR's of L1 and <d,e,f> are DR's of L2.
Note how
That says the lines are parallel .
Awesome , now to calculate the distance :
distance between parallel lines is given by
Note that you can also use (d,e,f) instead of (a,b,c) in the above formula .
I am skipping the calculations.
The answer is