the position vectors of a,B and C are `veci+vecj+veck`,`4veci+vecj+veck`,`4veci+5vecj+k`. Then the position vector of the circumcentre of the `DeltaABC` is

The Position vectors of A,B,C are 3veci+2vecj-veck, 2veci+4vecj+5veck and veci+0vecj+5veck then the position vector of centroid is :

For given vectors, veca = 2veci - vecj + 2veck, vecb = -veci + vecj - veck find the unit vector in the direction of the vector veca+vecb

The position vector of two points A and B are 3veci+vecj+2veck and veci-2vecj-4veck respectively. Find the equation of the plane through B and perpendicular to AB.

Two vertices of a triangle hence position vetors 2veci+4vecj-5veck and veci+3vecj-3veck .If the position vector of the centroid is vecj+2veck ,then the position vector of the third vertex is

If the position vectors of three points A, B and Care respectively veci+vecj+3veck , 4veci+vecj+5veck and 7(veci+veck) . Find vec(AB)xxvec(AC) .. Interpret the result geometrically.

Show that the points whose position vectors are 2veci+3vecj-5veck,3veci+vecj-2veck and 6veci-5vecj+7veck are collinear.

Show that the points whose position vectors are veci -2vecj+3veck , 2veci+3vecj-4veck , and -7vecj +10veck are collinear.

If 4veci+7vecj+8veck , 2veci+3vecj+4veck and 2veci+5vecj+7vecj are the position vectors of the vertices of A,B and C of a triangle ABC, then the position vector of the point where the bisector of /_A meets BC

Find the projection of the vector veci + 3vecj + 7veck on the vector 7veci - vecj + 8veck

veca =2veci+3vecj-2veck vecb =4veci-vecj+5veck Find veca xx vecb