VECTORS CLASS 11 NOTES PART 1, Slides of Physics

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Vector and its representation

Properties of vector

Angle between two vectors

Vector in NEWS

Types of vectors

Vector And Its Representation

Properties Of Vector

Angle Between Two Vectors

Vectors In NEWS

Types Of Vectors

Vector And Its Representation

New

Delhi

New

York

Areal

distance Delhi

between

New York is

N e w D e l h i t o N e w Yo r k

I need

direction

also.

V e c t o r a n d i t s r e p r e s e n t a t i o n

A physical quantity is called vector when

it:

has

magnitude

direction

obeys vector

algebra

S ymbolic

P

ictoria

l

Vector

Representation:

Vector quantity = 𝐴

Ԧ

Magnitude of vector 𝐴

Ԧ

or

𝐴

Head

Tail

Length= Magnitud

e

Direction

V e c t o r a n d i t s r e p r e s e n t a t i o n

Parameters required to represent a vector on cartesian

plane: Magnitude of the vector

Angle with the axis (generally with 𝑥 −axis)

The direction of the vector is indicated by

the

A

C

D

Dot

Line

Non of the

above

B Arrowhead

Vector and its representation

Properties of vector

P r o p e r t i e s o f v e c t o r

Multiplying a vector 𝐴

Ԧ

with a positive number 𝜆 gives a vector 𝐵 =

Ԧ

whose magnitude is changed by a factor 𝜆 but the direction is same as

that of 𝐴

Ԧ

𝐴

Ԧ

Multiplying a vector 𝐴

Ԧ

with a negative number 𝜆 gives a vector 𝐵 =

Ԧ

whose magnitude is changed by a factor −𝜆 and the direction is

opposite

to that of 𝐴

Ԧ

𝐴

Ԧ

P r o p e r t i e s o f v e c t o r

Ԧ

Two equal vectors are always parallel vectors, but parallel vectors may

or may not be equal vectors.

𝐴

𝐴

Ԧ

If the frame of reference is rotated or translated, the

vectors does not change.

A n g l e b e t w e e n t w o v e c t o r

Angle ( 𝜃 ) between two vectors means smaller of the two angles

between the vectors when they are placed tail to tail by displacing

either of the vectors parallel to itself ( 0 ≤ 𝜆 ≤ 𝜆).

𝐴

Displace vector to place tail to tail:

A n g l e b e t w e e n t w o v e c t o r

𝐴

Angle (𝜆) between two vectors means smaller of the two angles

between the vectors when they are placed tail to tail by displacing

either of the vectors parallel to itself ( 0 ≤ 𝜆 ≤ 𝜆).

𝐴

Displace vector to place tail

to tail:

𝐺𝐼𝑉𝐸𝑁

𝐷𝐴𝑇𝐴

ABC is an equilateral triangle made by vectors 𝐴𝐵, 𝐵𝐶, and 𝐶𝐴.

The

angle between 𝐴𝐵 and 𝐵𝐶 is

ABC is an equilateral triangle made by vectors 𝐴𝐵, 𝐵𝐶, and 𝐶𝐴.

The

angle between 𝐴𝐵 and 𝐵𝐶 is

A

C

D

B

60

0

120

0

30

0

Data insufficient