Question

Show that points (2. -1, -1), (4. -3. 0) and (0, 1, -2) are collinear.

Answer 1

Answer:

Direction ratio of AB and BC are in proportion,2AB=BC

Thus all points are collinear.

Step-by-step explanation:

To show that points A(2 -1, -1), B(4 -3 0) andC (0, 1, -2) are collinear.

• Calculate direction ratio of two points taking at a time
• if both direction ratio's are same or in same proportion,than both lines are parallel
• and hence both lines have a point common,i.e.all these points are in one line

now calculate Direction ratio

AB:4-2,-3+1,0+1=2,-2,1

BC=0-4,1+3,-2=-4,4,-2

2AB=BC

thus on the basis of direction ratio we can say that both lines are parallel,but in both the lines Point B is common so,we can say that all three points are on one lines.