ABC is any triangle and D,E, F are mid-poin of sides BC, CA and AB respectively. Let `vec AB= vec b` and `vec AC = vec c ` Express the third side and the three mdeians in therms of `vecb` and `vec c`

If ABC is any triangle and D is the midpoint of side [BC], then vec (AB) + vec(AC)

ABC is any triangle and D,E,F are the mid-points of sides vec(BC),vec(CA) and vec(AB) respectively. Express the vec (BE) and vec (CF) as linear combination of vectors vec (AB) and vec (AC) .

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

If D,E,F are the mid points of the side BC,CA and AB respectively of a triangle ABC,write the value of vec AD+vec BE+vec CF

If D is the mid-point of the side BC of a triangle ABC, prove that vec AB+vec AC=2vec AD .

If ABC is triangle and D is the mid-point of [BC], prove that vec AB + vec AC= 2 vec AD .

In /_ABC if D.E.F are the midpoints of sides BC,CA, AB respectively and vec AD+(2)/(3)vec BE+(1)/(3)vec CF=kvec AC then k=

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