Chapter 4. Motion in a plane

Scalars and vectors * Rectilinear motion is motion that occurs in a straight line. * Entities that are described completely with the help of a number along with its unit are called scalars * A number along with the unit that represents the measure of a physical quantity is called its magnitude. * Mass, distance, ... Read more

Chapter 3. Motion in a straight line

Position, path length and displacement * Displacement is the change in the position of the body. Average velocity and average speed * Speed is a scalar whereas velocity is a vector. * The average velocity is the ratio of the change in position or displacement and the time interval in which the displacement occurs. * ... Read more

Chapter 2. Units and Measurements

International system of units * A unit is an internationally accepted basic reference standard against which the measurements of any physical quantity are compared. * The units of fundamental or base quantities are called base units or fundamental units. * The units of derived quantities, expressed as a combination of base units are called derived ... Read more

Chapter 1. Physical World

Physics Importance and Scope * Physics is the branch of science that deals with the natural phenomena in terms of basic laws and physical quantities. * The scope of physics can be divided into two major domains that are, macroscopic and microscopic. * The macroscopic domain deals with phenomena at laboratory, realistic, terrestrial and astronomical ... Read more

Chapter 13. Probability

Probability Conditional Probability * If A and B are two events of the same sample space S, then the conditional probability of event A, given that even B has occurred, is given by p ( A | B ) = \frac{P (AՈB)}{P (B)} , P (B) ≠ 0 * If A is an event associated ... Read more

Linear Programming 12

Linear Programming Linear Programming Problem Theorem2: If R is open, then a maximum or a minimum value of the object function may not exist. However, if the exists, then it must occur at a corner point of R. Case (i): P is the maximum value of z, if the open half plane determined by ax ... Read more

Three Dimension Geometry 11

Direction Cosines and Direction Ratios * Directional angles: The angles made by a line with the positive directions of the X, Y and Z axes are called directional angles. * Directional Cosines: If α, β and γ are the directional angles of a directed line L, them cos α, cos β, and cos γ , ... Read more

Vector Algebra 10

Vectors Algebra Basic Concepts * Quantities that are characterised only by their magnitude are called scalar quantities. * Quantities that are characterised by their magnitude as well as direction are called vector quantities. * A line segment with a given direction is called a directed line segment. * A directed line segment AB is written ... Read more