Prove th the following sets of three points are collinear: `2hati+hatj-hatk, 3hati-2hatj+hatk and hati+4hatj-3hatk`

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

Prove that the following vectors are at righat angle: 2hati+5hatj+hatk, 3hati-2hatj+4hatk

The position vectors of the points A,B and C are (2hati + hatj - hatk), (3hati - 2hatj + hatk) and (hati + 4hatj - 3hatk) respectively. Show that the points A,B and C are collinear.

Show that the following vectors are coplanar : 2hati-hatj+hatk,hati-3hatj-5hatk,3hati-4hatj-4hatk .

Show that the following vectors are coplanar : hati-hatj+hatk,6hati-hatk and 4hati+2hatj-3hatk .

If the position vectors of the three points A,B,C are 2hati+4hatj-hatk, hati+2hatj-3hatk and 3hati+hatj+2hatk respectively, find a vector perpendicular to the plane ABC.

If the position vectors of the three points A,B,C are 2hati+4hatj-hatk, hati+2hatj-3hatk and 3hati+hatj+2hatk respectively, find a vector perpendicular to the plane ABC.

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

Show that the following vectors are coplanar : 3hati-2hatj+4hatk,6hati+3hatj+2hatk . 5hati+7hatj+3hatk . 2hati+2hatj+5hatk .

Prove that four points with position vectors hati+hatj-3hatk, 2hati -hatj-hatk,- hati +2hatj +2hatk and 2hati +2hatk arecoplanar