Question

Consider the line through the points (−4, −6, 1) and (−2, 0, −3). write a direction vector v1 for this line.

v1 = ?

Answer 1

The direction vector v1 for the line through the points (-4, -6, 1) and (-2, 0, -3) is v1 = (2, 6, -4).

Step-by-step explanation:

To find the direction vector for the line through the points (-4, -6, 1) and (-2, 0, -3), we can subtract the coordinates of the first point from the coordinates of the second point.

Let's call the first point A and the second point B. The direction vector v1 can be calculated as follows:

v1 = B - A = (-2, 0, -3) - (-4, -6, 1) = (-2 - (-4), 0 - (-6), -3 - 1) = (2, 6, -4).