Home
Class 12
MATHS
Show that the points A(2,3,4) , B(-1,2,-...

Show that the points `A(2,3,4) , B(-1,2,-3) and C(-4,1,-10)` are collinear. Also find the ratio in which C divides AB.

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

Show that the three points A(2,3,4),B(-1,2,-3) and C(-4,1,-10) are collinear and find the ratio in which C divides AB.

Show that the points A(2,1,3) ,B(5,0,5) and C(-4,3,-1) are collinear .

i. Prove that the points vec a-2vec b+3vec c, 2vec a+3vec b-4vec c and -7vecb+10 vec c are are collinear, where vec a, vec b, vec c are non-coplanar. ii. Prove that the points A(1,2,3), B(3,4,7), and C(-3,-2,-5) are collinear. find the ratio in which point C divides AB.

Prove that the points A(9,-1,4),B(-1,-3,2) and C(4,-2,3) are collinear.

i. Prove that the points veca - 2vecb + 3 vecc, 2 veca + 3vecb- 4 vecc and -7 vecb + 10 vecc are collinear, where veca, vec b and vecc are non-coplanar. ii. Prove that the points A(1, 2, 3), B(3,4, 7) and C(-3, -2, -5) are collinear. Find the ratio in which point C divides AB.

Show that the points A(1, -2, -8), B(5, 0, -2) and C(11, 3, 7) are collinear, and find the ratio in which B divides AC.

Show that the point A(2,-3,-4), B(1,2,3), C(3,-8,-11) are collinear.

Show that the points A(1,2,7),B(2,6,3) and C(3,10,-1) are collinear.

Show that the point A (1,-1,3), B ( 2,-4,5) and C ( 5,-13,11) are collinear.

Show that the points A(1,-2,-8),B(5,0,-2) and C(1,3,7) are collinear,and find the ratio in which B divides AC.