If `D` is the mid-point of the side `B C` of a triangle `A B C ,` prove that ` vec A B+ vec A C=2 vec A Ddot`

If D and E are the mid-points of sides AB and AC of a triangle A B C respectively, show that vec B E+ vec D C=3/2 vec B Cdot

If D is the mid point of side BC of a triangle ABC such that vec A B+ vec A C=lambda\ vec A D , write the value of lambdadot

If D is the midpoint of the side BC of Delta ABC then vec(A)B + vec(A)C =

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 O is a point in space, A B C is a triangle and D , E , F are the mid-points of the sides B C ,C A and A B respectively of the triangle, prove that vec O A + vec O B+ vec O C= vec O D+ vec O E+ vec O Fdot

If O is a point in space, A B C is a triangle and D , E , F are the mid-points of the sides B C ,C A and A B respectively of the triangle, prove that vec O A + vec O B+ vec O C= vec O D+ vec O E+ vec O Fdot

If O is a point in space, A B C is a triangle and D , E , F are the mid-points of the sides B C ,C A and A B respectively of the triangle, prove that vec O A + vec O B+ vec O C= vec O D+ vec O E+ vec O Fdot

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

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

If A B C D is quadrilateral and E and F are the mid-points of AC and BD respectively, prove that vec A B+ vec A D + vec C B + vec C D =4 vec E Fdot