If `G` is the centroid of a triangle `A B C ,` prove that ` vec G A+ vec G B+ vec G C= vec0dot`

If G is the centroid of triangle A B C ,t h e n vec G A+ vec G B+ vec G C is equal to a. vec0 b. 3 vec G A c. 3 vec G B d. 3 vec G C

If G denotes the centroid of Delta \ A B C ,\ then write the value of vec (G A) + vec (G B)+ vec (G C)dot

If a ,b ,c are the lengths of sides, B C ,C A and A B of a triangle A B C , prove that vec B C+ vec C A+ vec A B= vec O and deduce that a/(sinA)=b/(sinB)=c/(sinC)dot

If vec a ,\ vec b ,\ vec c be the vectors represented by the sides of a triangle, taken in order, then prove that vec a+ vec b+ vec c= vec0dot

Let G be the centroid of triangle \ A B Cdot If vec A B= vec a ,\ vec A C= vec b , then the bisector vec A G , in terms of vec a\ a n d\ vec b is 2/3( vec a+ vec b) b. 1/6( vec a+ vec b) c. 1/3( vec a+ vec b) d. 1/2( vec a+ vec b)1

If veca , vec b and vec c represents three sides of a triangle taken in order prove that veca xx vec b = vec b xx vec c = vec c xx vec a

If vec a ,\ vec b ,\ vec c are position vectors of the vertices A ,\ B\ a n d\ C respectively, of a triangle A B C ,\ write the value of vec A B+ vec B C+ vec C Adot

If A,B and C are the vertices of a triangle with position vectors vec(a) , vec(b) and vec(c ) respectively and G is the centroid of Delta ABC , then vec( GA) + vec( GB ) + vec( GC ) is equal to

If vec a , vec b , vec ca n d vec d are the position vectors of the vertices of a cyclic quadrilateral A B C D , prove that (| vec axx vec b+ vec bxx vec d+ vec d xx vec a|)/(( vec b- vec a)dot( vec d- vec a))+(| vec bxx vec c+ vec cxx vec d+ vec d xx vec b|)/(( vec b- vec c)dot( vec d- vec c))=0dot

if G is the centroid of triangleABC such that vec(GB) and vec(GC) are inclined at on obtuse angle, then