The position vectors of the points A, B and C are `-5hat i+hat j`, `5hati+ 5hatj` and `10hati+ 7hatj`; show that the points A, B, C are colinear.

The position vectors of the points A, B and C are -5hat(i)+hat(j), 5hat(i)+5hat(j) " and " 10hat(i)+7hat(j) , show that the points A, B, C are colinear.

The position vectors of the points A, B, and C are hati + hatj + hatk.hati+ 5hatj-hatk and 2hati + 3hatj + 5hatk , respectively . The greatest angle of triangle ABC is -

The position vectors of points A,B and C are hati+hatj,hati + 5hatj -hatk and 2hati + 3hatj + 5hatk , respectively the greatest angle of triangle ABC is

The position vectors of points A,B and C are hati+hatj,hati + 5hatj -hatk and 2hati + 3hatj + 5hatk , respectively the greatest angle of triangle ABC is

The position vectors of points A,B and C are hati+hatj+hatk,hati + 5hatj -hatk and 2hati + 3hatj + 5hatk , respectively the greatest angle of triangle ABC is

The position vectors of the points A,B and C are (2hati + hatj - hatk), (3hati - 2hatj + hatk) and (hati + 4hatj - 3hatk) respectively. Show that the points A,B and C are collinear.

The position vectors of the points A, B, C are (hati-3hatj-5hatk),(2hati-hatj+hatk) and (3hati-4hatj-4hatk) respectively. Then A, B, C form a/an -

Given the position vectors of three points A(hati-hatj+2hatk ),B(4hati+5hatj+8hatk) and C(3hati+3hatj+6hatk) . Prove that A,B and C are collinear.

The position vectors of the points A,B,C and D are 6 hati - 7 hatj , 16 hati - 29 hatj - 4 hatk , 3 hati - 6 hatk and 2 hati + 5 hatj + 10 hatk respectively. Show that the points A,B,C and D are non coplanar.

The position vectors of the point A, B, C and D are 3hati-2hatj -hatk, 2hati+3hatj-4hatk, -hati+hatj+2hatk and 4hati+5hatj +lamda hatk , respectively. If the points A, B, C and D lie on a plane, find the value of lamda .