If D is the mid -point of side AB of `DeltaABC`, then `bar(AB) + bar(BC) + bar(AC)`=

If P is a point on the plane of DeltaABC such that bar(PA) + bar(PB) + bar(PC) = 0 , then, for Delta ABC, the point P is

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

In the above figure (not to scale), E and F are the mid points of AB and CD respectively. bar(AB) | |bar(CD),bar(BC)||bar(AD),/_ADE =70^(@) , AND /_BCE =40^(@), /_DEC is

If D is the mid point of side BC of a triangle ABC such that vec AB+vec AC=lambdavec AD, write the value of lambda

If ABCD is a square, then bar(AB) + 2 bar(BC) + 3 bar(CD) + 4 bar(DA) =

In DeltaABC,L,M,N are points on BC,CA,AB respectively, dividing them in the ratio 1:2,2:3,3:5, if the point K divides AB in the ratio 5:3 , then (|bar(AL)+bar(BM)+bar(CN)|)/(|bar(CK)|)=

In DeltaABC, E is the midpoint of bar(BC), while F is midpoint of bar(AE), and bar(BF) meets AC at D, as shownin Fig, If the area of DeltaABC = 48, find the area of DeltaAFD.

If ABCDEF is a regular hexagon of side a, then bar(AB).bar(AF)=

D, E, F are the midpoints of the sides BC, CA and AB respectively of triangleABC and O is any point in the plane of triangleABC . Show that (1) bar(AD)+bar(BE)+bar(CF)=bar(0)