linear vector field


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Vectors - Introduction
resultant displacement vector >Similarly, by referring to the figure belo..
Dot Product of Vectors and the Resolution of a Vector
It was mentioned earlier that, displacement vectors are added to displacement vectors, or velocity vectors are added to velocity vectors. Just as it is meaningless to add scalar quantities of different kinds, such as mass and temperature, so also it is ..
Dot Product and the Resolution of a Vector
Dot Product of Vectors and the Resolution of a Vector - It was mentioned earlier that, displacement vectors are added to displacement vectors, or velocity vectors are added to velocity vectors. Just as it is meaningless to add scalar quant..
Potential Energy in an External Field
Potential Energy of a Single Charge - In the previous chapter, we learnt about specific charge, its location, and its electric field, but here we are considering the potential energy of a charge, in an external field. Consider an external electric field 'E' produced by..
Uniform External Field
Dipole in an external field Dipole in an external field Consider a permanent dipole of dipole moment 'p' in a uniform external field E, which implies that p does not depend E nor it is induced due to E. The force on q is qE and on -q is -qE and net force on dipole is zero. However, the charges ..
Field at a Point Outside the Spherical Shell
is the unit vector. is directed outwards if the charge is positive and is directed inwards if the charge is negative. The electric field in terms of surface charge densi..
Linear Algebra
Types of linear systems Gauss-Jordan elimination, Gauss-Jordan method Vectors and vector addition Geometrical solution sets of systems of equations Rectangular matrices to row echelon form Matrix multiplication Inverse to a square matrix Determinants of 2 by 2..
Algebra/Linear Algebra
Different forms of numbers Scientific notation, square roots, exponents, radicals, absolute value, factorial, logarithms Properties of numbers Estimation of solutions Sequences and series Proportionality/direct variation, exponential/fractional expressions Patterns, relations and functions ..
Polarization
Light is an electromagnetic wave with electric and magnetic field vectors varying sinusoidally, perpendicular to each other as well as perpendicular to the direction of propagation of wave of ligh..
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