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Chapter 3: Q15 (page 75)

Complete each statement with the word always, sometimes, or never. Two skew lines are parallel.

Short Answer

Expert verified

Two skew lines are never parallel.

Step by step solution

01

Step 1. Parallel Lines

Parallel lines are those lines which are coplanar but do not intersect each other anywhere.

02

Step 2. Skew Lines

Skew lines are those lines which are non-coplanar, so they neither intersect each other nor are parallel to each other.

03

Step 3. To check skew lines are parallel or not

From definitions of both parallel lines and skew lines, it is clear that skew lines can never be parallel lines

Hence, two skew lines are never parallel.

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