Parallelogram Law of Addition of Vectors
Important Questions on Parallelogram Law of Addition of Vectors
is a parallelogram with and as diagonals. Then,

The adjacent sides of a parallelogram are represented by the vectors and Find unit vectors parallel to the diagonals of the parallelogram.

Show that the line segments joining the mid-points of opposite sides of a quadrilateral bisects each other.

Show that the sum of three vectors determined by the medians of a triangle directed from the vertices is zero.

is a parallelogram and is the point of intersection of its diagonals. If is the origin of reference, show that .

are four points in a plane and is the point of intersection of the lines joining the mid-points of and and . Show that where is any point.

Prove by vector method that the internal bisectors of the angles of a triangle are concurrent.

If and are two non-collinear vectors having the same initial point. What are the vectors represented by and

