Question

Is the line through (- 4, - 6, 1) and (- 2, 0, - 3) parallel to the line through (10, 18, 4) and (5, 3, 14)?

Answer 1

Step 1:

The points are and .

Formula for vector equation passes through two points and is .

The line equation passes through these two points is .

The line .

The points are and .

The line equation passes through these two vectors is .

The line .

If two vectors are parallel, then those are scalar multiples of each other.

.

The lines are parallel.

Solution:

The lines are parallel.