“Physics Class 11 – Vector, 1D Motion & Projectile Motion (Handwritten Notes with Numericals)”

,Saleemians Khopcha Concept

, 2 Vector

Mathematically/Analytical
lquks HkkbZ ;s chapter oSls rks mathematics →
dk gS tks maths okys cPps 12th class es 0 A vector P is represented by P
→
extreme detail es i<+ksxs ;g¡k ges mruk gh 0 Force = F
i<+uk gS ftruk physics es use gksuk gS t:jr → →
Q. Represent vector P & vector Q
ls T;knk PHD djus dh dksf'k'k uk djs bcz →
P = 20N along East
oks ge 12th es djsaxs oqQN cPps tks bls igyh →
ckj i<+ jgs gS mUgs Q = 40N along north
starting es ;g chapter eqf'dy yx ldrk gS muls eS Sol.
N
;gh dgq¡xk dh ftruk content eS ;g¡k ns jgk gq¡ mldks 3-4
ckj vPNs ls rough copy ij practice dj ys brus ls
physics es vPNs ls dke py tk,xk 40N

Scalar Quantity W E
20N
Those physical quantities which can be completely
described by its magnitude only are called Scalar. S
→
Vector Quantity 0 Represent P of magnitude 20N in direction of 37°
east of north
Those physical quantity which have magnitude & N
direction and they follow law of vector algebra.
Eg. Force, Acceleration, Momentum.
20N
37°

REPRESENTATION OF VECTOR W E


Diagram वाला तरीका
al ) S
fin
n
ir
(d
ad
he
tia
l TYPES OF VECTOR
ini
l
tai
Length of arrow represent magnitude of vector. vcs vPNs ls budh reading ys ysukA

SKC Equal Vector
Two vector are said to be equal vector, if they have
same magnitude, same direction and same physical
कौन सी Physical quantity vector है या scalar है अभी हम- इस quantity.
→ 10N
बात स- कोई ल-ना द-ना नहीं है। D;ksafd vHkh gekjh physics start ugh gqbZ gS P 15N →
→ 10N m R
so take it lightly Vector का सुरूर होल- होल- चढ़-गा। Q

, → →
R and P are equal vector :  Multiplication of a Vector with a Number
→ → →
P and Q are equal vector :  0 If a vector A is multiply by a number n > 0. Then
magnitude of vector becomes n times & direction
Parallel Vector Here, Physical quantity, remains same.
→
Two vectors are said to अलग - अलग हो सकती है। A
be parallel if they have All equal vectors are →
2A
same direction. parallel vectors →
0 If a vector A is multiply by a number n < 0, then
magnitude of vector becomes n times & direction
Anti-Parallel Vector = Direction Opposite become opposite.
A Block is moving with constant velocity 10 m/s along →
A
east direction →
→ –2 A
V1 = 10 m/s
→
F1
10N SKC
m 30N →
→ 20N F3
F2
→ →
F1 & F2 are parallel vector. अगर हमन- िकसी vector को n स- Multiply िकया तो
→ →
F1 & F2 are not equal vector. vector की length n times हो जाएगी / अगर n
→ → +ve है तो direction same रह-गी और अगर n-ve है
F1 & V1 are parallel vector
→ → तो direction opposite हो जाएगी।
F2 & V1 are parallel vector
→ → Coplanar Vector
F1 & F3 are anti-parallel vector
→ → If all vectors lie in same plane then vectors are known
V1 & F3 are anti-parallel vector. as co-planar.
NOTE:- TWO VECTORS are always COPLANAR
V →
V → =पर Coinitial Vector
→
a → नीच- [Tail to Tail ]: Two vectors are said to be coinitial if
→ → they have same initial point.
V, a are antiparallel. →
B

V →
V → नीच-
→ →
a → नीच- A
→ → Co-Initial vector Collinear vector
V, a are parallel.

Negative Vector
→ →
Two vectors A, & B, are said to be negative of
each other if they have same magnitude & opposite
direction. Parallel vector Orthogonal vector
→
A
→
B
→ →
A = – B are negative vector to each other.
22 Physics P
W