Prove that the vecotos `3hati+5hatj+2hatk, 2hati-3hatj-5hatk and 5hati+2hatj-3hatk` form the sides of an equlateral triangle.

Using dot product of vectors show that the vectors 2hati-hatj+hatk, hati-3hatj-5hatk and 3hati-4hatj-4hatk form a righat angled triangle

Prove that the vectgors 2hati-hatj+hatk, hati-3hatj-5hatk and 3hati-4hatj-4hatk form a righat angled triangle.

Show that the vectors a =3hati - 2hatj+hatk, b=hati - 3hatj+5hatk and c=2hati+hatj-4hatk form a right angled triangle.

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

Prove that points hati+2hatj-3hatk, 2hati-hatj+hatk and 2hati+5hatj-hatk form a triangle in space.

Show that the vectors a =3hati - 2hatj+hatk, b=hati - 3hatj+5hatk and c=2hatj+hatj-4hatk form a right angled triangle.

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

Show that vectors 3hati-2hatj+2hatk,hati-3hatj+4hatk and 2hati-hatj-2hatk form a right angled triangle

Show that the vectors 2hati-hatj+hatk and hati-3hatj-5hatk are at righat angles.

Prove that the three points whose positions vectors are 3hati-hatj+2hatk, hati-hatj-3hatk and 4hati-3hatj+hatk form an isosceles tirangle.