Mathematical methods grade 12 CBSE(NEET/JEE) VECTORS handwritten most imp notes
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Module
CBSE grade 12
Institution
CBSE Grade 12
NOTES providing in-depth conceptual ideas about 'vectors' and mathematical methods for grade 12 CBSE,HSC or any other Indian board. Essential for every 12th grader learning Physics/Maths.
MatheDatics isa toolof Pbysics
Dagpitude apls is
Scalar i- The quantits wbich b0s
called os (scalor quantity'
Potwer
time distanceresistance
e.q. Moss,teroperoture
work,
nCntial diu.
Potential
wbich has botb maqpitude and
(2) Vectori- Tbe quantits
direction is called as vector quantIts"
e.g. DisplacenepEVelDcits. force_acceleation eto
TO Wards certte af eartb
momeptum, accpleration P-Pbar (Maily uaed Evepto
Represeptation of Vector
Symbalic metbod
v=40 ms (v bu)
A
IAR|= 5o m
(a) Grapbical tepe septatian.
-50
m Scale:1cm= 1om
300 30° N OF E
JA
A+ai
T4pes oF Yectoc
Zero vector /Dull vector
magnitude-0. Hauingq arbit1ory direction.
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Page No.:
(o) Unit vector
1 Value vector which Veefo obtained
u duidcd by thå Ve ctar itsel7. and hauing auhen
fasticu
’Cap.hat, coret
OthogoDal frectapqular lhit Vectot
directio0
191 direcion
axis
alwaus a
9- 32 aection always at
g-aXis yalus
(9) Equal uector
Directin and magnituae are same Ange þetweh thon
A
44)Negetive Jopposite yector
The vectors having equal magnitudes bt /noppsite
directtOn then the vectors gre caled as. opposite Vector
A=10 m
R=10 m
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Position yector
ne Vector bhich qives the position of particle at a p.
Vector wbichbis
olled as poSItion VeCtor! aDd theis catted 0s position vector.
and Sbouus the
siNed at apE on a- ordin. ate SysfemË
shottesSE distance Vector is called as displacemet Vector'
p0SPlacement vector
+Position vector
A
SAB B Displacemept vector
A
Position vector
C6) Resultapt yectox.
ReSltant vector IS tbe pet PfFeCtAUtPut aDd tbe result
OE all ectots
(1)co- (DHËat Nector. S. SeSs. Sy baveSameinitiat pt
thexefoxe thes are co-ipittal wector
S2
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