Show that the three points whose position vectors are `-3hati+hatj+5hatk, 2hati+3hatk, -13hati+3hatj+9hatk` are collinear

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

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 =

A unit vector perpendicular to the plane passing through the points whose position vectors are hati-hatj+2hatk, 2hati-hatk and 2hati+hatk is

Show that the points A, B and C with position vectors -2hati+3hatj+5hatk, hati+2hatj+3hatk and 7hati-hatk respectively are collinear

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.

A line passes through the points whose position vectors are hati+hatj-2hatk and hati-3hatj+hatk . The position vector of a point on it at unit distance from the first point is (A) (1)/(5)(5hati+hatj-7hatk) (B) (1)/(5)(5hati+9hatj-13hatk) (C) (hati-4hatj+3hatk) (D) (1)/(5)(hati-4hatj+3hatk)

If the vectors a hati + 3 hatj - 2 hatk and 3 hati - 4 hatj + b hatk are collinear, then (a,b) =

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

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