Now try this a. Can skew lines have a point in common? Why? b. Can skew lines be parallel? Why?

Question

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Answer 1

Textbook Question

Chapter 11, Problem 2NT

Now try this

a. Can skew lines have a point in common? Why?

b. Can skew lines be parallel? Why?

Expert Solution

To determine

(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.

Expert Solution

To determine

(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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Explain the key points and reasons for the establishment of 11.3.2(integral Test)

Answer 2

Textbook Question

Chapter 11, Problem 2NT

Now try this

a. Can skew lines have a point in common? Why?

b. Can skew lines be parallel? Why?

Expert Solution

To determine

(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.

Expert Solution

To determine

(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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Answer 3

Textbook Question

Chapter 11, Problem 2NT

Now try this

a. Can skew lines have a point in common? Why?

b. Can skew lines be parallel? Why?

Expert Solution

To determine

(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.

Expert Solution

To determine

(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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Answer 4

Textbook Question

Chapter 11, Problem 2NT

Now try this

a. Can skew lines have a point in common? Why?

b. Can skew lines be parallel? Why?

Expert Solution

To determine

(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.

Expert Solution

To determine

(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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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution

To determine

(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.

Expert Solution

To determine

(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.

Answer 8

Expert Solution

To determine

(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.

Answer 9

Expert Solution

Answer 10

Expert Solution

Answer 11

Expert Solution

Answer 12

To determine

(a)

To find:

Whether the skew lines have a point in common or not and give reasons.

Answer 13

Answer to Problem 2NT

Solution:

No, skew lines have not a point in common.

Answer 14

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.

Answer 15

Expert Solution

To determine

(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.

Answer 16

Expert Solution

Answer 17

Expert Solution

Answer 18

Expert Solution

Answer 19

To determine

(b)

To find:

Whether the skew lines are parallel or not and give reasons.

Answer 20

Answer to Problem 2NT

Solution:

No, skew lines are not parallel.

Answer 21

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.

Answer 22

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Now try this a. Can skew lines have a point in common? Why? b. Can skew lines be parallel? Why?

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Answer to Problem 2NT

Explanation of Solution

Answer to Problem 2NT

Explanation of Solution

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Chapter 11 Solutions