Show that the following points are collinear:
(i) A(2, -2), B(-3, 8) and C(-1, 4)
(ii) A(-5, 1), B(5, 5) and C(10, 7)
(iii) A(5, 1), B(1, -1) and C(11, 4)
(iv) A(8, 1), B(3, -4) and C(2, -5)

Use determinants to show that the following points are collinear. (i) A(2, 3), B(-1, -2) and C(5, 8) (ii) A(3, 8), B(-4, 2) and C(10, 14) (iii) P(-2, 5), Q(-6, -7) and R(-5, -4)

Find the area of Delta ABC whose vertices are : (i) A(1, 2), B (-2, 3) and C(-3, -4) (ii) A(-5, 7), B(-4, -5) and C(4, 5) (iii) A(3, 8), B(-4, 2) and C(5, -1) (iv) A(10, -6), B(2, 5) and C(-1, 3)

Using determinants, show that the following points are collinear : (i) (a+b,c),(b+c,a),(c+a,b) (ii) (5, 5),(10,7), (-5,1)

Using determinants, show that the following points are collinear : (i) (a+b,c),(c+c,a),(c+a,b) (ii) (5, 5),(10,7), (-5,1)

Using vectors, find the area of Delta ABC whose vertices are (i) A(1,1,2),B(2,3,5) and C(1,5,5) (ii) A(1,2,3),B(2,-1,4) and C(4,5,-1) (iii) A(3,-1,2),B(1,-1,-3) and C(4,-3,1) (iv) A ( 1,-1,2),B(2,1,-1) and C(3,-1,2).

Using vector method, show that the given points A,B,C are collinear: (i) A(3,-5,1),(-1,0,8) and C(7,-10,-6) (ii) A(6,-7,-1),B(2,-3,1) and C(4,-5,0).

Prove that the following points are collinear : {:((i)(2","1)","(4","3)and(3","2),(ii)(9","6)","(-1","4)and(2","5)),((iii)(b+c","a)","(c+a","b)and(a+b","c),(iv)(5","6)","(-1","4)and (2","5)):}

Prove that the following points are collinear : {:((i)(2","1)","(4","3)and(3","2),(ii)(9","6)","(-1","4)and(2","5)),((iii)(b+c","a)","(c+a","b)and(a+b","c),(iv)(5","6)","(-1","4)and (2","5)):}

Show that the points A (4 , 7 , -6) , B (2 , 5 , -4) and C ( 1 , 4 , -3) are collinear.

In each of the following, check how the points A,B and C are situated. (i) A(-2,2),B(8,-2),C(-4,-3) (ii) A(-a,-b),B(a,b),C(a^2,ab),agt1 (iii) A(4,0),B(-1,-1),C(3,5)