Question

Determine if any of the lines are parallel or identical.

Answer 1

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 .

.

The lines and are parallel.

Answer 2

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 .

Comments

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 and is parellel to .