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Determine if any of the lines are parallel or identical.

0 votes

Determine if any of the lines are parallel or identical.

asked Feb 18, 2015 in CALCULUS by anonymous

2 Answers

0 votes

Step 1:

The lines are

If two lines are parallel, then that lines are scalar multiples of each other.

The directional vector of is .

The directional vector of is .

The directional vector of is .

The directional vector of is .

image.

The lines and are parallel.

answered Feb 22, 2015 by Sammi Mentor
0 votes

Contd...

Step 2:

If the lines are identical, then that lines are must be parallel.

The lines and are parallel.

For line , set in .

Substitute in .

.

Substitute in .

.

The line passes through the point is .

For line ,substitute in .

.

Substitute in .

.

Substitute in .

.

The line passes through the point is .

answered Feb 23, 2015 by Sammi Mentor

Contd...

Step 3:

For line , substitute in .

Substitute in .

Substitute in .

The line passes through the point is .

The points of and are equal.

The lines and are identical lines.

Solution:

The lines image and is parellel to .

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