Theory

The length of the resultant vector represent its magnitude. The length of the resultant can be measured with a ruler and compared to the scale. Angles can be measured with a protractor. This method is known as the tail-to-tip method of adding vectors. (Giancoli, D.C. 2005)

A variety of mathematical operations can be performed with and upon vectors. One such operation is the

addition of vectors. Two or more vectors can be added together to determine the result (or resultant). The

resultant vector can be determined using the Graphical Method (Parallelogram method and Tail-tip

method) and Analytical method (Pythagorean theorem method. Law of cosine and component method).

(Origenes, P.S.2014).

The mathematical quantities that are used to describe the motion of objects can be divided into two

categories. The quantity is either a vector or a scalar. Vector, in physics, is a quantity that has both

magnitude and direction. It is typically represented by an arrow whose direction is the same as that of the

quantity and whose length is proportional to the quantity’s magnitude. Although a vector has magnitude

and direction, it does not have position. That is, as long as its length is not changed, a vector is not altered

if it is displaced parallel to itself. https://sinepost.wordpress.com/2012/04/15/theory-vectors/

A vector is an object that has both a magnitude and a direction. Geometrically, we can picture a vector as

a directed line segment, whose length is the magnitude of the vector and with an arrow indicating the

direction. The direction of the vector is from its tail to its head.

http://mathinsight.org/vector_introduction

Reference:

Giancoli, D.C. (2005). Physics Principles with applications (6th edition). New Jersey: Prentice Hall International, Inc. p. 45-49

Origenes, P.S. (2014). Physics Study Guide: Mechanics and Heat. Lucban, Quezon. P. 17-19