Now try this
a. Can skew lines have a point in common? Why?
b. Can skew lines be parallel? Why?
(a)
To find:
Whether the skew lines have a point in common or not and give reasons.
Answer to Problem 2NT
Solution:
No, skew lines have not a point in common.
Explanation of Solution
Given:
The skew lines.
Approach
In three-dimensional geometry, skew lines are two lines that do not intersect and are not parallel.
Calculation:
According to definition of skew lines,
Skew lines can’t intersect each other which means they have not a point in common.
Hence skew lines have not a point in common.
(b)
To find:
Whether the skew lines are parallel or not and give reasons.
Answer to Problem 2NT
Solution:
No, skew lines are not parallel.
Explanation of Solution
Given:
The skew lines.
Approach
In three-dimensional geometry, skew lines are two lines that do not intersect and are not parallel.
Calculation:
According to definition of skew lines,
Two or more lines are parallel when they lie in the same plane and never intersect.
Therefore, the skew lines are not parallel as they are not co-planar.
Hence skew lines are not parallel.
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Chapter 11 Solutions
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
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