Let `veca,vecb` and `vecc` represent vectors `vec(BC),vec(CA) and vec(AB)` in `triangleABC` respectively. Show that : `vecaxxvecb=vecbxxvecc=veccxxveca`.

Let veca,vecb and vecc represent vectors vec(BC),vec(CA) and vec(AB) in triangleABC respectively s.t. veca+vecb+vecc=vec0 ,. Show that : vecaxxvecb=vecbxxvecc=veccxxveca .

Let veca,vecb,vecc represent the vectors vec(BC),vec(CA) and vec(AB) respectively. Show that vecaxxvecb=vecbxxvecc=veccxxveca and deduce the rule of sines of the triangle.

If veca+vecb+vecc=vec0 , show that vecaxxvecb=vecbxxvecc=veccxxveca .

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.

If veca, vecb and vecc are position vectors of A,B, and C respectively of DeltaABC and if|veca-vecb|,|vecb-vec(c)|=2, |vecc-veca|=3 , then the distance between the centroid and incenter of triangleABC is

For any three vectors veca,vecb,vecc show that veca-vecb,vecb-vecc,vecc-veca are coplanar.

Show that |vecaxxvecb|=sqrt(vec(a^2)vec(b^2)-(veca*vecb)^2) .

If veca,vecb,vecc are three vectors such that : |veca|=5,|vecb|=12 and |vecc|=13 and veca+vecb+vecc=vec0 , find the value of veca*vecb+vecb*vecc+vecc*veca .

let veca , vecb and vecc be three vectors having magnitudes 1, 1 and 2, respectively, if vecaxx(vecaxxvecc)+vecb=vec0, then the acute angle between veca and vecc is _______

If the vectors veca,vecb and vecc satisfy the condition veca+vecb+vecc=vec0 and |veca|=2,|vecb|=4 and |vecc|=3 , then find the value of veca*vecb+vecb*vecc+vecc*veca .