Prove that the points `hati-hatj,4hati+3hatj+hatk` and `2hati-4hatj+5hatk` are vertices of a 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-2hatj-4hatk are coplanar.

Show that the points A,B and C with position vectors , veca=3hati-4hatj-4hatk,vecb=2hati-hatj+hatkandvecc=hati-3hatj=5hatk ,respectively form the vertices of a right angled triangle.

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

Show that the points A, B and C with position vectors, vec(a)=3hati-4hatj-4hatk,vec(b)=2hati-hatj+hatk and vec( c )=hati-3hatj-5hatk , respectively form the vertices of a right angled triangle.

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

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

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

Find the angle between the vectors 2hati-hatj+hatk and 3hati+4hatj-hatk .