Using vector method, show that the points whose position vectors are `hati-hatj`, `4hati-3hatj+hatk` and `2hati-4hatj+5hatk` form a right angled triangle.

Using vector method, show that the points whose position vectors are , 2hati-hatj+hatk and hati-3hatj-5hatk and 3hati-4hatj-4hatk form a right angled triangle.

Show that the point whose position vectors are veca=4hati-3hatj+hatk,vecb=2hati-4hatj+5hatk,vecc=hati-hatj form a right angled triangle.

Show that the vectors : 2hati-hatj+hatk,hati-3hatj-5hatk and 3hati-4hatj-4hatk form the vertices of a right angled triangle.

Show that the three points with position vectors -2hati+3hatj+5hatk , hati+2hatj+3hatk and 7hati-hatk are collinear.

Show that the three points with position vectors 2hati+6hatj+3hatk , hati+2hatj+7hatk and 3hati+10hatj-hatk are collinear.

Show that the three points with position vectors hati+2hatj+7hatk , 2hati+6hatj+3hatk and 3hati+10hatj-hatk are collinear.

If the vectors 6hati-2hatj+3hatk,2hati+3hatj-6hatk and 3hati+6hatj-2hatk form a triangle, then it is

Show that the following vectors are coplanar : 2hati-hatj+hatk,hati-3hatj-5hatk,3hati-4hatj-4hatk .

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