This course shall constantly be using mathematical techniques of algebra, trigonometry, geometry, vector algebra, differential calculus and integral calculus. Do remember to subscribe to this lesson page to stay updated with new Question Bank every month.*
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Vectors and Scalars
Certain Physical quantities are completely described by a numerical value alone and are added according to the ordinary rules of algebra. As an example the mass of a system is described by saying that it is 5 kg. If two bodies one having a mass of 5 kg and other having a mass of 2 kg are addded together to make a composite system, the total mass of the system becomes 5 kg + 2 kg = 7 kg. Such quantities are called scalars.
The complete description of certain physical quantities requires a numerical value as well as the direction in space. Velocity of a particle is an example of this kind. We can know how fast a particle is moving when we see 5 m/s but it doen't tell where the thing is headed. In case of vectors(here:velocity), we are able to tell the direction with an arrow. The arrow is used to represent the direction of the vector in space also the length is used to tell the magnitude of the vector.