Consider lines L₁ and L₂. L₁: x = 1 + t, y = t₁ z = 2 + t, t€ R, L₂: x-3=y-1=z - 3 (a) Verify whether lines L₁ and L₂ are parallel. The lines are ✔ parallel. (b) If the lines L₁ and L₂ are parallel, find the shortest distance between them. (If the lines are not parallel, enter NOT PARALLEL.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter12: Angle Relationships And Transformations
Section12.2: Angles And Parallel Lines
Problem 2E
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Consider lines 4₁ and 14₂.
L₁: x = 1 + t, y = t, z = 2 + t, te R, L₂: x-3=y-1 = z − 3
(a) Verify whether lines L₁ and L₂ are parallel.
The lines are
✔
parallel.
(b) If the lines L₁ and L₂ are parallel, find the shortest distance between them. (If the lines are not parallel, enter NOT
PARALLEL.)
1
X
Transcribed Image Text:Consider lines 4₁ and 14₂. L₁: x = 1 + t, y = t, z = 2 + t, te R, L₂: x-3=y-1 = z − 3 (a) Verify whether lines L₁ and L₂ are parallel. The lines are ✔ parallel. (b) If the lines L₁ and L₂ are parallel, find the shortest distance between them. (If the lines are not parallel, enter NOT PARALLEL.) 1 X
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