Found 6 Articles for Scalars and Vectors

Introduction If the position of any object changes relative to the time it is said to be in motion. Motion of any object that happens in three ways like one-dimensional motion, two-dimensional motion, and three-dimensional motion. Movement of a train on a straight track, circular motion of the top are some examples for motion. This motion of particles is best described by the law of mechanics. Three laws were proposed for the understanding of the movement of an object. When there is a motion then there will be a displacement. In this tutorial, we are going to discuss the topic ... Read More

Introduction A vector and a scalar quantity can be explained with the help of algebraic principles. A scalar quantity represents a one-dimensional value whereas the vector quantity represents two and more than two-dimensional values. The motion of an object can also be represented with the help of a vector and a scalar quantity. What is Scalar? An important mathematical expression of physics is a scalar quantity. This field of physics is associated with measurement. Meter and degree are the two most important units of measurement that are used in presenting the value of a scalar unit (Sirunyan et al. ... Read More

Introduction The Triangle Law of Vector Addition is the concept that is utilized to add the 2 vectors and is also determined as the method of head-to-tail. This law also helps to calculate the velocity, net displacement, and acceleration. The law helps in vector algebra in order to find the resultant of the sum of vectors where the 2 or more 2 vectors are added. While considering the 2 vectors as P and Q, the angle between them will be θ and their summation can be found by using the formula of the triangle law of vector addition that ... Read More

Introduction Vector and scalar quantities both are the physical quantity. The first one has both direction and magnitude but the latter one has only magnitude and no direction. The physical quantities are often used as physical terms like work, velocity, and force. They are classified into two quantities of Vector and scalar. Definition of Scalar Quantity Scalar Quantity is mainly defined as one of the physical quantities having no direction but only magnitude. This physical quantity is defined through its numerical value without having any direction. This quantity has the additional quality and it follows the simple ... Read More

Introduction The scalar products are essential in order to understand the motion of vector quantities in real-time. These products can be subtracted or added at the same time with a proper algebraic formula for understanding the scalar quantity of different objects. These types of products are commonly denoted as the inner products or dot products based on their characteristics to outline scalar multiplication through dots. Definition of Scalar Product The scalar products is defined as the products of magnitude that consists of two vectors cosine angle between different vectors. Scalar products mostly involve the sum of the products for ... Read More

Introduction The numbers or magnitude can measure a scalar product whereas the vector products are described with the direction along with the magnitude. A scalar and two vectors can be multiplied and can form two kinds of products according to the rules of physics. Both scalar and vector products are used for defining energy and work performed, especially within energy relations. Definition of Scalar Products and Vector Products Scalar products can be defined as an algebraic operation that involves two equal-length sequences of numbers and as a result, returns only one result at a time. This product can be found ... Read More