Question -
Answer -
If the directionratios of two lines segments are proportional, then the lines are collinear.
Given:
A(2, 3, 4), B(тИТ1, тИТ2,1), C(5, 8, 7)
Direction ratio ofline joining A (2, 3, 4) and B (тИТ1, тИТ2, 1), are
(тИТ1тИТ2), (тИТ2тИТ3), (1тИТ4)= (тИТ3, тИТ5, тИТ3)
Where, a1┬а=-3, b1┬а= -5, c1┬а= -3
Direction ratio ofline joining B (тИТ1, тИТ2, 1) and C (5, 8, 7) are
(5тИТ (тИТ1)), (8тИТ (тИТ2)),(7тИТ1) = (6, 10, 6)
Where, a2┬а=6, b2┬а= 10 and c2┬а=6
Now,
тИ┤ A, B, C arecollinear.