If the vectors ` vec a , vec b ,a n d vec c` form the sides`B C ,C Aa n dA B ,` respectively, of triangle `A B C ,t h e n` ` vec adot vec b+ vec bdot vec c+ vec cdot vec a=0` b. ` vec axx vec b= vec bxx vec c= vec cxx vec a` c. ` vec adot vec b= vec bdot vec c= vec cdot vec a` d. ` vec axx vec b+ vec bxx vec c+ vec cxx vec a=0`

Options

A. `vec(a).vec(b)+vec(b).vec(c)+vec(c).vec(a)=0`
B. `vec(a)xxvec(b)=vec(b)xxvec(c)=vec(c)xxvec(a)`
C. `vec(a).vec(b)=vec(b).vec(c)=vec(c).vec(a)`
D. `vec(a)xxvec(b)+vec(b)xxvec(c)+vec(c)xxvec(a)=vec(0)`

Answer

B

Explanation

Area of triangle `=1/2 (vec(a)xxvec(b))=1/2(bxxvec(c))=1/2(vec(c)xxvec(a))`