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Physics XII
Physics XII Content
Waves
Wave Motion | Old ...
Mechanical Waves | Old ...
Mechanical Waves | Important ...
Acoustic Phenomena | Old ...
Physical Optics
Nature and Propagation of ...
Interference | Old is ...
Diffraction | Old is ...
Polarization
Current Electricity
DC Circuit | Old ...
Electrical Circuits | Old ...
Thermoelectric Effect | Old ...
Chemical Effect Of Current ...
Magnetic Field of current
Magnetic effect of current ...
Magnetic Properties of Materials ...
Electromagnetic Induction | Old ...
Alternating Currents | Old ...
Electrons and Photons
Solids and semi-conductor devices
Quantization of energy
Nuclear Physics
Radioactivity
Nuclear energy and other sources of energy
Particle physics and cosmology
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COMMUTATIVE LAW AND ASSOCIATIVE LAW OF VECTOR ADDITION
PROPERTIES OF VECTOR ADDITION
COMMUTATIVE LAW
OF
VECTOR ADDITION
Consider two vectors
and
. Let these two vectors represent two adjacent sides of a parallelogram. We construct a parallelogram
OACB
as shown in the diagram. The diagonal
OC
represents the resultant vector
From above figure it is clear that:
This fact is referred to as the commutative law of vectr addition .
ASSOCIATIVE LAW
OF
VECTOR ADDITION
The law states that the sum of vectors remains same irrespective of their order or grouping in which they are arranged.
Consider three vectors
,
and
Applying “head to tail rule” to obtain the resultant of (
+
) and (
+
)
Then finally again find the resultant of these three vectors :
This fact is known as the
ASSOCIATIVE LAW OF VECTOR ADDITION
.
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