Determine whether the lines L1 and L2 are parallel, skew, or intersecting. X - Y - 3 z - 2 %3D 3 х— 3 L2: y – -6 z + 5 Lz: X-3 = Y - 10 -3 parallel skew intersecting If they intersect, find the point of intersection. (If an answer does not exist, ei

Elementary Geometry For College Students, 7e
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Chapter10: Analytic Geometry
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Calc III and lines in space!

Determine whether the lines L1 and L2 are parallel, skew, or intersecting.
1
Z - 2
L1:
3
3
y – 10
-6
х —
L2:
3
z + 5
-3
6.
parallel
skew
intersecting
If they intersect, find the point of intersection. (If an answer does not exist, enter DNE.)
Transcribed Image Text:Determine whether the lines L1 and L2 are parallel, skew, or intersecting. 1 Z - 2 L1: 3 3 y – 10 -6 х — L2: 3 z + 5 -3 6. parallel skew intersecting If they intersect, find the point of intersection. (If an answer does not exist, enter DNE.)
Expert Solution
Step 1

Given that the two lines 

   L1: x/1 = (y - 1)/3 = (z - 2)/3

   L2: (x - 3)/-3 = (y - 10)/-6 = (z+5)/6

Here we have to show that these two lines are parallel, skew or intersecting.

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