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, show that the four points given by position vectors 4hati+5hatj+hatk , -hatj-hatk , 3hati+9hatj+4hatk and -4hati+4hatj+4hatk 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 four points with position vectors 4hati+8hatj+12hatk,2hati+4hatj+6hatk,3hati+5hatj+4hatk and 5hati+8hatj+5hatk are coplanar.

Show that the four points A,B,C and D with position vectors 4hati+5hatj+hatk,-(hatj+hatk),(3hati+9hatj+4hatk) and 4(-hati+hatj+hatk) respectively are coplanar.

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

Find 'lambda' so that the four points with position vectors -hati+3hatj+2hatk,3hati+lambda hatj+4hatk,5hati+7hatj+3hatk and -13hati+17hatj-hatk are coplanar.

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.

Show that the four points having position vectors 6hati-7hatj,16hati-19hatj-4hatk,3hatj-6hatk,2hati+5hatj+10hatk are not coplanar.

The vectors lamdahati+hatj+2hatk, hati+lamdahatj-hatk and 2hati-hatj+lamda hatk are coplanar if