If the parallelogram ABCD with `bar(AC)` as the diagonal is completed, then the position vector of the point D is

If P\ a n d\ Q are the mid points of the sides AB and CD of a parallelogram ABCD, prove that DP and BQ cut the diagonal AC in its points of trisection which are also the points of trisection of DP and BQ respectively.

Find the area of a parallelogram ABCD whose side AB and the diagonal AC are given by the vectors 3i+j+4k and 4i+5k respectively

ABCD is a parallelogram with AC and BD as diagonals. Then, A vec C - B vec D =

30.In a parallelogram ABCD,the diagonal AC measures 34m and the perpendicular distanceof AC from either of the vertices B and D is 12m. The area of the parallelogram isa

If ABCD is a parallelogram, then vec(AC) - vec(BD) =

If vec(a), vec(b), vec(c) are the position vectors of corners A, B, C or a parallelogram ABCD, then what is the position vector of the corner D?

If vec(a), vec(b), vec(c ) are the position vectors of corners A, B, C of a parallelogram ABCD. Then what is the position vector of the corner D?

if ABCD is a trapezium,AC and BD are the diagonals intersecting each other at point Q. then AC:BD=

Prove, by vector method, that the diagonals of a parallelogram bisect each other , conversely, if the diagonals of a quadrilateral bisect each other, it is a parallelogram.