If a,b and c are non-coplanar vectors, then prove that the four points `2a+3b-c,a-2b+3c,3a+4b-2c and a-6b+6c` are coplanar.

If a,b and c are non-coplanar vectors, prove that 3a-7b-4c, 3a-2b+c and a+b+2c are coplanar.

If a,b and c are non-coplanar vectors and lamda is a real number, then the vectors a+2b+3c,lamdab+muc and (2lamda-1)c are coplanar when

Find x such that the four points A(3, 2, 1), B(4, x, 5), C(4, 2, -2) and D(6, 5, -1) are coplanar.

If a,b,c are three non-coplanar vectors, then 3a-7b-4c,3a-2b+c and a+b+lamdac will be coplanar, if lamda is

If a +b+c = alphad, b+c+d=beta a and a, b, c are non-coplanar, then the sum of a +b+c+d =

The points with coordinates (2a,3a), (3b,2b) and (c,c) are collinear

Show that the points A(1,3,2),B(-2,0,1) and C(4,6,3) are collinear.

Find the value of k if the points A(2,3), B(4,k) and C(6,-3) are collinear.

If the position vectors of the points A,B and C be a,b and 3a-2b respectively, then prove that the points A,B and C are collinear.

p=2a-3b,q=a-2b+c and r=-3a+b+2c , where a,b,c being non-coplanar vectors, then the vector -2a+3b-c is equal to