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

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

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

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

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.

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

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 2hati-3hatj+4hatk and -4hati+6hatj-8hatk are collinear.

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

Find the angle between the vectors 4hati-2hatj+4hatk and 3hati-6hatj-2hatk.