Question

Three points $A,B$ and $C$, whose coordinates are $(3,-2,4),(1,1,1),(-1,4,-2)$ respectively are collinear.

• A. True
• B. False

Answer 1

The correct option is A True

If direction ratio of AB=direction ratio of BC

then A,B,C are collinear.

$DirectionofAB=\left(\right(3-1),(-2-1),(4-1\left)\right)$

$=(2,-3,3)-\left(1\right)$

$DirectionofBC=\left(\right(1-(-1)),(1-4),(1-(-2)\left)\right)$

$=(2,-3,3)-\left(2\right)$

$\because \left(1\right)=\left(2\right)$

$\therefore$A,B,C are collinear.

$A)True$