Question

If two vectors are represented by two adjacent sides of a parallelogram from the same initial point, their resultant \[\vec{R} = \vec{a} + \vec{b}\] is represented by which geometric feature?

Options

• The diagonal connecting the non-common terminal points

• The opposite side parallel to the first vector

• The diagonal passing through their common initial point

• The perimeter of the parallelogram

Answer 1

According to the Parallelogram Law of Vector Addition, when two vectors are represented by two adjacent sides of a parallelogram sharing a common initial point, their resultant vector is given by the diagonal passing through that common initial point.