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) |vecaxxvecb+vecbxxvecc+veccxxveca|`. 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 , 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 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 vec a,vec b,vec c are the position vectors of the vertices A,B,C of a triangle ABC, show that the area triangle ABCis(1)/(2)|vec a xxvec b+vec b xxvec c+vec c xxvec a| Deduce the condition for points vec a,vec b,vec c to be collinear.

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.

A(veca),B(vecb),C(vecc) are the vertices of the triangle ABC and R(vecr) is any point in the plane of triangle ABC , then r.(vecaxxvecb+vecbxxvecc+veccxxveca) is always equal to

A(veca),B(vecb),C(vecc) are the vertices of the triangle ABC and R(vecr) is any point in the plane of triangle ABC , then vec r.(vecaxxvecb+vecbxxvecc+veccxxveca) is always equal to