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

Find the value of lambda for which the four points with position vectors 6hati-7hatj, 16hati-19hatj, lambdahatj-6hatk and 2hati-5hatj+10hatk are coplanar.

Prove that the four points 6 hati - 7hatj, 16hati - 19 hatj - 4hatk, 3hatj - 6hatk and 2hati + 5hatj + 10 hatk form a tetrahedron in spacel.

The points with position vectors alpha hati+hatj+hatk, hati-hatj-hatk, hati+2hatj-hatk, hati+hatj+betahatk are coplanar if

If the four points with position vectors -2hati+hatj+hatk, hati+hatj+hatk, hatj-hatk and lamda hatj+hatk are coplanar then lamda= (A) 1 (B) 2/3 (C) -1 (D) 0

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 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.

The point having position vectors 2hati+3hatj+4hatk,3hati+4hatj+2hatk and 4hati+2hatj+3hatk are the vertices of

The value of lamda for which the four points 2hati+3hatj-hatk,hati+2hatj+3hatk,3hati+4hatj-2hatk and hati-lamdahatj+6hatk are coplanar.

If the points whose position vectors are 2hati + hatj + hatk , 6hati - hatj + 2 hatk and 14 hati - 5 hatj + p hatk are collinear, then p =