Operations on Matrices
Equality of Matrices, Addition of Matrices, Matrix Addition is commutative, Matrix addition is associative, Subtraction of Matrices, Multiplication of a matrix by a scalar, Multiplication of Matrices, Properties of Matrix Multiplication, Transpose of a Matrix, Properties of Transpos..
Addition or Composition of Vectors
Scalars can be added algebraically. However, vectors do not obey the ordinary laws of algebra. This is because vectors possess both magnitude and direction. Vectors are added geometrically. The process of adding two or more vectors is known as addition or composition of vectors. Whe..
Basic Properties of Electric Charges
If a system consists of two point charges q 1 and q 2 , then the total charge of the system is got by adding q 1 and q 2 . Thus, the charge add up like real numbers (scalars). When we add charges, one should take care of its sig..
Mass of a body
is defined as the amount of matter contained in it. The SI unit of mass is kilogram (kg). Mass is a scalar quantity. The amount of matter contained in a body does not change with time or from place to place i.e., mass of a body remains the same throughout the universe. However, two d..
Basic Properties of Electric Charges
Additivity - If a system consists of two point charges q 1 and q 2 , then the total charge of the system is got by adding q 1 and q 2 . Thus, the charge add up like real numbers (scalars). When we add charges, one should take care of its sig..
Properties of Transpose
(A T ) T = A (A + B) T = A T + B T , A and B being of the same order. (KA) T = KA T , k be any scalar (real or complex) (AB) T = B T A T ; A and B being conformable for the product A..
Difference between distance and displacement
Distance Displacement It is the actual length of the path covered by a moving object It is the shortest distance between the initial position and the final position of the moving object It is a scalar quantity It is a vector quantity ..
Difference between distance and displacement
Distance Displacement It is the actual length of the path covered by a moving object It is the shortest distance between the initial and final positions of the moving object It is a scalar quantity It is a vector quantity ..
Vectors - Introduction
; derivations involving these laws are often greatly simplified if this is done. Quantities that can be completely specified by a number and unit and therefore, have magnitude only, are called scalars. Some scalar quantities are mass, length, time, density, energy and temperatur..
Result
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