Showing posts with label vectors physics. Show all posts
Showing posts with label vectors physics. Show all posts

Sunday, May 26

Subtracting Vectors Physics

Introduction to Subtracting Vectors Physics

Man's curiosity to know 'nature ' always drives him to evolve new concepts, and identify new relationships among physical quantities. The relationship among the quantities may be of algebraic or geometric in nature. It is cumbersome to represent the relationships geometrically in three dimensions. The concept of vectors and scalars solves this issue. Equations in vector form indicate both mathematical and geometrical relationships among the quantities. Physical laws in vector form and very compact, and independent of choice of coordinate system.I like to share this Displacement Vector with you all through my article.

Subtracting Vectors in Physics : Definition of Vectors

A vector is characterised by an absolute value(magnitude) and a direction. The vector, as a mathematical object, is defined as a directed line segment. Displacement, velocity acceleration, force momentum, angular momentum are a few examples of vector quantities.

A vector is geometrically represented by an arrow. Length of the arrow is proportional to the magnitude of the vector; head of the arrow gives the sense of direction. A displacement vector is represented as an arrow. The initial point( or tail ) of the vector is A, the final point (or head) is B. The length AB ( measured to a scale ) is the magnitude of the vector. The direction of the vector is specified by the angle (in counter clock - wise direction) the arrow makes with a reference line. The magnitude of the displacement is 30m. Its direction is 300 north of east.  In print a vector is represented by a single bold type letter such as d .

Subtraction of Vectors in Physics

Before the operation of subtraction is taken up it is convenient of define negative of a vector.  Negative of a vector is another vector having same magnitude but opposite direction. When a vector and its negative vector are added the resultant is Zero .

i.e.,  a + (-a) = 0. It is said that -a is anti parallel to a.

The concept of negative vector enables one to carry out subtraction of vectors. If vector b is subtracted from vectors a then add -b ( negative of vector b) to a.

a + (-b)  =  a - b