Using scalar triple product prove that the four points whose position vectors are given by the vectors `-hatj+hatk`, `2hati-hatj-hatk`, `hati+hatj+hatk` and `3hatj+3hatk` are coplanar.

Using scalar triple product prove that the four points whose position vectors are given by the vectors , hati-hatj+hatk , 2hati-2hatj , 3hati+2hatj+2hatk and 4hati+hatj+hatk are coplanar.

Using scalar triple product prove that the four points whose position vectors are given by the vectors , 4hati-2hatj+hatk , 5hati+hatj+6hatk , 2hati+2hatj-5hatk and 3hati+5hatj are coplanar.

Using scalar triple product, show that the four points given by position vectors hati+hatj+10hatk , 2hati+3hatj+11hatk , 3hati+2hatj+6hatk and hati-2hatj+4hatk are coplanar.

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

Show that the following points whose psitions vectors are given are collinear : -2hati+3hatj+5hatk, hati+2hatj+3hatk and 7hati-hatk

Show that the following points whose psitions vectors are given are collinear : 5hati+5hatk, 2hati+hatj+3hatk and -4hati+3hatj-hatk

Using scalar triple product, find the volume of the parallelopiped whose sides are given by the vectors 2hati+3hatj+4hatk , hati+2hatj-hatk and 3hati-hatj+2hatk .

Using scalar triple product, show that the four points given by position vectors : 2hati+3hatj+2hatk,4hati-5hatk,3hati+hatj-2hatk and 5hati+3hatj-4hatk are coplanar.

Using scalar triple product, find the volume of the parallelopiped whose sides are given by the vectors -4hati-6hatj-2hatk , -hati+4hatj+3hatk and -8hati-hatj+3hatk .

Using scalar triple product, find the volume of the parallelopiped whose sides are given by the vectors 7hati-5hatj-3hatk , hati+2hatj-hatk and -3hati+7hatj+5hatk .