Home
Class 12
MATHS
Let veca,vecb and vecc represent vectors...

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`.

Promotional Banner

Similar Questions

Explore conceptually related problems

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

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,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.

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

If veca+vecb+vecc=vec0 show that vecaxxvecb=vecbxxvecc=veccxxveca . Interpret the result geometrically.

Prove that veca*((vecb+vecc)xx(veca+vecb+vecc))=0 .

If veca,vecb,vecc are unit vectors such that veca+vecb+vecc=vec0 , find the value of veca*vecb+vecb*vecc+vecc*veca .

If veca,vecb,vecc are unit vectors such that veca+vecb+vecc=vec0 , then the value of veca.vecb+vecb.vecc+vecc.veca is

If veca,vecb and vecc are three unit vectors such that veca*vecb=veca*vecc=0 and angle between vecb and vecc is pi/6 , prove that veca=+-2(vecb xxvecc) .

A, B, C and D have position vectors veca, vecb, vecc and vecd , repectively, such that veca-vecb = 2(vecd-vecc) . Then