If `veca,vecb,vecc` are the position vectors of the vertices A,B,C of a `/_\ABC` respectively, find an expression for the area of `/_\ABC` and hence deduce the condition for the points A,B,C to be collinear.

If a,b and c are the position vectors of the vertices A,B and C of the DeltaABC , then the centroid of DeltaABC is

If the position vectors of the points A,B and C be a,b and 3a-2b respectively, then prove that the points A,B and C are collinear.

If veca , vec b , vec c are the position vectors of the vertices A ,B ,C of a triangle A B C , show that the area triangle A B Ci s1/2| vec axx vec b+ vec bxx vec c+ vec cxx vec a|dot Deduce the condition for points veca , vec b , vec c to be collinear.

If vec a and vec b are the position vectors of A and B respectively, find the position vector of a Point C in BA produced such that BC = 1.5 BA.

If veca,vecb,vecc,vecd respectively, are position vectors representing the vertices A,B,C,D of a parallelogram, then write vecd in terms of veca,vecb and vecc .

If the position vectors of the vertices A,B and C of triangle ABC are respectively vec 0 , -20 hat i+ 15 hat j and 36 hat I + 15 hat j . Find the P.V. of the incentre of the triangle.

Let vec a and vec b be the position vectors of the points (3,-5) and (m,4) respectively. Find m if the vectors vec a and vec b are collinear.

If vec a , vec b , vec c , vec d are the position vector of point A , B , C and D , respectively referred to the same origin O such that no three of these point are collinear and vec a + vec c = vec b + vec d , than prove that quadrilateral A B C D is a parallelogram.

If veca & vecb are the position vectors of A & B respectively and C is a point on AB produced such that AC=3AB then the position vector of C is:

If veca,vecb,vecc are position vectors of non-collinear points A,B and C respectively, show that : vecaxxvecb+vecbxxvecc+veccxxveca is perpendicular to the plane ABC.