Skip to main content

Vectors

Vectors

So friends let's start the first topic of Physics of Class 11 that is Vector.
I will break this chapter into sub topics for better understanding:
  • Introduction
  • Types of Vector
  • Representation of Vectors
  • Addition of Vectors Geometrically
  • Vectors on x-y co-ordinates
  • Components of Vector
  • Addition of Vector using components
  • Multiplication of Vectors
  • Dot Product and Cross Product
So let's get started!

Introduction

Vectors are physical quantities which requires magnitude as well as the direction for its representation. For example, we can not simply write 10m Displacement because it does not signifies the direction. So we have to write 10m Displacement in East direction.
Current is also represented with direction and magnitude but it's not a Vector Quantity. Since the vector quantities must follow the rules of Vector Triangle. This we will discuss in the next topic.

Representation of Vectors

Vectors are represented with an alphabet and a line above it indicates its direction. The line above it should be proportional to the magnitude.
For example,
F=20N
It is written as

The length of the line above is proportional to magnitude of F. So if there is 1cm=10N
then the above arrow should be 2 cm long

Comments

Popular posts from this blog

Limitations of Mendeleev's Periodic Table

Mendeleev arranged 63 elements known at that time in the periodic table. According to Mendeleev “the properties of the elements are a periodic function of their atomic masses.” The table consists of eight vertical column called ‘groups’ and horizontal rows called ‘periods’ Limitations of mendeleev’s classification : (i) He could not assign a correct position of hydrogen in his periodic table, as the properties of hydrogen resembles both with alkali metals as well as with halogens. (ii) The isotopes of the same element will be given different position if atomic number is taken as basis, which will disturb the symmetry of the periodic table. (iii) The atomic masses do not increases in a regular manner in going from one elements to the next. So it was not possible to predict how many elements could be discovered between two elements.

Drobenier's Traid

Doberiner’s Law of Triads: According to this law, “in certain triads (grout) of three elements) the atomic mass of the central element was the arithmetic mean of the atomic masses of the other two elements.” But in some triads all the threc elements possessed nearly the same atomic masses, therefore the law was rejected. e.g., atomic masses of Li, Na and K are respectively 7, 23 and 39, thus the mean of atomic masses of I St and 3rd element is Limitations of Doberiner’s Triads:  He could identify only a few such triads and so the law could not gain importance. In the triad ofFe, Co, Ni, all the three elements have a nearly equal atomic mass and thus does not follow the above law.