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) |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 bara,barb,barc are the position vectors of the vertices of a triangle ABC, then the area of triangle ABC is

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.

If a,b,c are the position vectors of the vertices of /_ABC, then area of the triangle is

If bar(a), bar(b), bar(c) are the position vectors of the vertices A, B, C of the triangle ABC, then the equation of the median from A to BC is

If veca, vecb and vecc are the position vectors of the vertices A,B and C. respectively , of triangleABC . Prove that the perpendicualar distance of the vertex A from the base BC of the triangle ABC is (|vecaxxvecb+vecbxxvecc+veccxxveca|)/(|vecc-vecb|)