If `veca, vecb, vecc` are the position vectors of the vertices of an equilateral triangle whose orthocenter is at the origin, then

IF veca, vecb, vecc are the position vectors of the vertices of an equilateral triangle whose orthocentre is at the origin, then

If vec a,vec b,vec c are the position vectors of the vertices of an equilateral triangle whose orthocenter is at the origin,then

If vec(a), vec(b) and vec(c ) are the position vectors of the vertices of an equilateral triangle whose orthocenter is at the origin, and then which one of the following is correct?

If veca , vecb, vecc are the position vectors of the vertices. A,B,C of a triangle ABC. Then the area of triangle ABC is

If veca , vecb, vecc are the position vectors of the vertices. A,B,C of a triangle ABC. Then the area of triangle ABC is

If veca , vecb , vecc are position vectors of the vertices A, B, C of a triangle ABC, show that the area of the triangle ABC is 1/2 ​ [ veca × vecb + vecb × vecc + vecc × veca ] . Also deduce the condition for collinearity of the points A, B and C.

If veca , vecb , vecc are position vectors of the vertices A, B, C of a triangle ABC, show that the area of the triangle ABC is 1/2 ​ [ veca × vecb + vecb × vecc + vecc × veca ] . Also deduce the condition for collinearity of the points A, B and C.

If veca, vecb and vecc are the position vectors of vertices A,B,C of a Delta ABC, show that the area of triangle ABC is 1/2| veca xx vecb + vecbxx vec c+vec c xx veca|. Deduce the condition for points veca, vecb and vecc to be collinear.