class 11th -vector analysis

ICSE/ CBSE Notes-

For more Notes click this link https://cbsenotesallsub.blogspot.com/

11th  vector analysis

The physical quantities in two categories

1-Scalar Quantities

2-Vector Quantities

1-Scalar Quantities- Those quantities which  have only magnitude and no direction are called scalar quantities.

Eg- distance,speed,volume,density,work etc are scalar quantities

2-Vector  Quantities -Those quantities which  have both magnitude  direction are called vector quantities.

Eg-displacement,velocity,force,acceleration,etc are vector quantities

Note-some physical quantities that are not completely explained by magnitude and direction are know as  ' TENSOR'  for eg-moment of inertia ,stress, conductivity,resistivity, refractive index

 which have different values in different directions at the same point. are called tensor quantities.

Representation of vectors-(some important points)

1-A vector  is represented by a line  with an  arrow

2- That arrow indicate the  direction of vector

3- A vector is indicated  by bold letter as A,B,C,D, etc

4-A vector is written with an arrow over the letter which  representing the vector 

5-Two vector are said to be equal if their magnitude are equal and have same  direction

fig-1

6-if more than two vectors have same magnitude and direction they are also said to be equal vectors

7-displacement is denoted by vector

fig-2

fig-3

Here    vector A  = - vector  D   (because both vectors are in opposite direction)

so D is as a negative vector

and      vector A= vector B= vector C   (all vectors are  in same direction)

FOR more notes click  to  given link

https://cbsenotesallsub.blogspot.com/2021/10/class-11th-addition-of-vector.html

https://cbsenotesallsub.blogspot.com/2021/10/parallelogram law.html