If `veca` and `vecb` represent a side and a diagonal of a parallelogram, find the other sides and the other diagonal.

Using vectors prove that the diagonals of a parallelogram bisect each other.

If vec a= hat i+2 hat j+3 hat k and vec b=2 hat i+4 hat j−5 hat k represent two adjacent sides of a parallelogram, find unit vectors parallel to the diagonals of the parallelogram.

If vectors veca and vecb are two adjacent sides of parallelograsm then the vector representing the altitude of the parallelogram which is perpendicular to veca is (A) vecb+(vecbxxveca)/(|veca|^2) (B) (veca.vecb)/(|vecb|^2) (C) vecb-(vecb.veca)/(|veca|)^2veca (D) (vecaxx(vecbxxveca))/(|vecb|^2

Find the length a diagonal of a rectangle having side 11 cm and 60 cm.

The extremities of a diagonal of a rectangle are (0.0) and (4, 4). The locus of the extremities of the other diagonal is equal to