5. INTRODUCTION:
• Vectors is physical quantity
• What is physical quantity?
• Any quantity which can be measured by any
method is called a physical quantity
• There are two types of physical quantities.
1. Scaler Quantities
2. Vector Quantities
6. What are scaler quantities?
• A scaler quantity is any quantity that has magnitude only without given direction.
Example: Mass, speed, temperature, ETC.
What AreVector Quantities?
Vector quantities are those quantities which are completely
Specified by magnitude as well as direction.
Example: Force, velocity, displacement, ETC.
7. REPRESENTATION OF VECTOR.
• Vector are represented by line with arrow ( ).
• The length of the arrow shows the magnitude Of the vector while,
• The head of the arrow Gives its direction.
8 cm
8. MULTIPLICATIONOFAVECTORBYANUMBER
• When a vector is multiplied by a number. It remains a vector quantity.
• If the number n is positive the new vector has a magnitude n times the magnitude
of the original vector and its direction remains the same
4 cm 1cm ½ F
2 cm
F 2F
9. • If the vector is multiplied by the negative number -n then the new vector
has a magnitude n times the magnitude of the original vector but the
direction will be opposite to the original vector
• 4cm 1cm
2cm - 2F - ½ F
F
10. Vector addition
• In vector addition we are only concerned with net result of two vectors.
• The net result will be observed when two vectors A and B will be added.
• The resultant of two vectors is obtained by :- A+B=R.
11. GRAPHICAL METHOD
A vector can be represented by following steps shown below:-
THIS IS KNOWN AS (HEADTOTAIL) RULE METHOD
Step(1):- draw two represented lines on suitable scales
Step(2):- redraw these lines in such way so the head of A coincides with the tail of B
Step(3):-draw another vector line of vector R from tail of vector A to the head of
vector B .
The vector R shows the resultant of vector A and B.
12. TRIGONOMATRIC
RATIO
• Trigonometry is the branch of
mathematics.It is most important
for solving many problems in
physics. We should go throughout
with tis so we can discuss vector
more carefully.
• Some of trigonometric ratios are
discussed below:-
13. RESOLUTION OF A VECTOR
•The decomposition of a vector into its
components is called resolution of a vector