Show that the four points which position vectors. `4hati+8hatj+12hatk, 2hati+4hatj+6hatk, 3hati+5hatj+4hatk and 5hati+8hatj+5hatk` are coplanar.

Show that the four points which the position: Vectors: 4hati + 8hatj + 12hatk, 2hati + 4hatj +6 hatk, 3hati + 5hatj + 4hatk, 5hati + 8 hatj + 5hatk are coplanar:

Show that the four points with position vectors 4 hati +8 hatj + 12 hatk, 2 hati + 4 hatj + 6 hatk , 3 hati + 5 hatj+ 4 hatk and 5 hati + 8 hatj + 5 hatk are coplahar .

Show that the vectors hati-hatj-hatk,2hati+3hatj+hatk and 7hati+3hatj-4hatk are coplanar.

The vectors lamda hati + hatj + 2 hatk, hati + lamda hatj - hatk and 2 hati - hatj + lamda hatk are coplanar if :

Consider A, B, C or D with position vectors : 7 hati - 4 hatj + 7 hatk, hati - 6 hatj + 10 hatk, - hati - 3 hat + 4 hatk and 5 hati - hatj + 5 hatk respectively. Then ABCD is a:

Show that the points A,B and C having position vectors (3hati - 4hatj - 4hatk), (2hati - hatj + hatk) and (hati - 3hatj - 5hatk) respectively, from the vertices of a right-angled triangle.

The point having position vectors 2hati+3hatj+4hatk,3hati+4hatj+2hatk and 4hati+2hatj+3hatk are the vertices of

The value of lamda for which the four points 2hati+3hatj-hatk,hati+2hatj+3hatk,3hati+4hatj-2hatk and hati-lamdahatj+6hatk are coplanar.

Show that the vectors 2hati-3hatj+4hatk and -4hati+6hatj-8hatk are collinear.

Value of a for which 2 hati - hatj+1hatk , hati + 2 hatj - 3 hatk and 3 hati + a hatj + 5 hatk are coplanar is :