Show that the points `A(-2hati+3hatj+5hatk),B(hati+2hatj+3hatk)andC(7hati-hatk)` are collinear.

Show that the points A(2hati-hatj+hatk),B(hati-3hatj-5hatk) and C(3hati-4hatj-4hatk) are the vertices of right angled triangle.

Show that the points A(2hati-hatj+hatk),B(hati-3hatj-5hatk),C(3hati-4j-4hatk) are vertices of a right angled triangle.

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

Show that the vectors hati-3hatj+2hatk,2hati-4hatj-hatk and 3hati+2hatj-hatk and linearly independent.

If the vectors 4hati+11hatj+mhatk,7hati+2hatj+6hatk and hati+5hatj+4hatk are complanar then m=

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

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 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.

If the vectors 2hati-hatj+hatk,hati+2hatj-3hatk and 3hati+ahatj+5hatk are coplanar, the prove that a=-4.

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