If the position vectors of the vertices of a triangle be `2hati+4hatj-hatk,4hati+5hatj+hatk and 3 hati+6hatj-3hatk`, then the triangle is

The position vectors of the vertices A,B and C of a triangle are hati-hatj-3hatk,2hati+hatj-2hatk and -5hati+2hatj-6hatk , respectively. The length of the bisector AD of the angleBAC , where D is on the segment BC, is

If the position vectors of the vertices of a triangle of a triangle are 2 hati - hatj + hatk , hati - 3 hatj - 5 hatk and 3 hati -4 hatj - 4 hatk , then the triangle is

Let ABC be a triangle the position vectors of whose vertices are respectively hati+2hatj+4hatk, -2hati+2hatj+hatk and 2hati+4hatj-3hatk . Then the /_\ABC is (A) isosceles (B) equilateral (C) righat angled (D) none of these

Find the perimeter of a triangle with sides 3hati+4hatj+5hatk,4hati-3hatj-5hatk and 7 hati+hatj .

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.

Two sides of a triangle are given by hati+hatj+hatk and -hati+2hatj+3hatk then area of triangle is

The position vectors of the sides of triangle are 3hati+4hatj+5hatk, hati+7hatk and 5hati+5hatk . The distance between the circumcentre and the ortho centre is

If the position vectors of the vertices A,B and C of a DeltaABC are 7hatj+10k,-hati+6hatj+6hatk and -4hati+9hatj+6hatk , respectively, the triangle is

The position vectors of the points A, B, C are 2 hati + hatj - hatk , 3 hati - 2 hatj + hatk and hati + 4hatj - 3 hatk respectively . These points

The position vectors of the points A, B, C are 2 hati + hatj - hatk , 3 hati - 2 hatj + hatk and hati + 4hatj - 3 hatk respectively . These points