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..
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 meaningless to add vector quan..
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..
scalar
Distance is a scalar quantity. SI unit of distance is metre. The position of the bus changed when it moved from the terminus A to terminus B. There is a displacement of 150 km from A to B. The displacement by the return trip is also 150 km . ..
Let u, v be two vectors. Which of the following is correct?
Let u , v be two vectors. Which of the following is correct? => ( u + v ) is a vector or u · v is a scalar or u · v is a vector or Both A and B..
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..
Work and Measurement of Work
Let us now discuss the conditions to be satisfied for work to be done. From the above examples, it is clear that work is said to be done when a force acts on an object and the point of application of the force moves in the direction of force. Hence, the essential condition that has to be satisfied ..
Question 21
Question: Displacement is a ________ quantity. 1. scalar 2. vector 3. derived 4. linear Answer: ..
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..
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. When two ..
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