Brainscape's Knowledge GenomeTM

Browse over 1 million classes created by top students, professors, publishers, and experts.


See full index

Physics > Vector > Flashcards

Vector Flashcards

You may prefer our related Brainscape-certified flashcards:
Physics 101 flashcards AP® Physics flashcards
1
Q

Why is current scalar if it has a magnitude and direction

A

If you imagine a current of 5A flowing from 2 wires each into a single wire , then the current in the final wire would be 10A. But according to vector algebra (addition) the current flowing in the final wire would be √50. So current is a scalar qty.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

Why is time scalar ?

A

It is because time has only one direction, that is forwards. Time cannot go backwards as proven by Einstein’s theory (speed of light).
As time has only one direction.

By adding a bit to the definition of the vector quantity. ‘A vector quantity is a scalar with a direction in the three-dimensional space.’

Time is considered to be the 4th dimension

And Time does not follow vector algebra(addition)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

Why is pressure scalar?

A

Pressure has both magnitude and direction but it always has only one direction, perpendicular to the surface it’s being applied to.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

Polar vectors

A

Vectors having starting points

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

Axial vectors also called

A

Pseudovectors

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

Null vectors also called

A

0 vector

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

Null vector

A

0 magnitude and it’s direction is indeterminate

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

Null vector denoted by

A

→

0

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

Unit vector of →

A

A

A cap or A hat or A caret

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

A unit vector specifies

A

Only direction of vector A and no magnitude (no unit also)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

The direction of x axis is represented by

A

i cap

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

The direction of y axis is represented by

A

j cap

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

The direction of z axis is represented by

A

k cap

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

Equal vectors have

A

Equal magnitude and same direction

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

Like vectors have

A

Unequal magnitude and same direction

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

Unlike vectors have

A

Unequal magnitude and opposite direction

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
17
Q

Opposite vectors have

A

Equal magnitude and opposite direction

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
18
Q

Unit vector =

A

Vector / Magnitude of the vector

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
19
Q

Opposite vectors also called

A

Negative vectors

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
20
Q

Coplanar vectors

A

Vectors lying in the same plane. E.g. i cap and j cap , j cap and k cap

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
21
Q

Orthogonal vectors

A

Perpendicular vectors

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
22
Q

If a vector is displayed parallel to itself :

A

Its value doesn’t change

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
23
Q

E.g. of null vectors

A

When a body is moving with a constant velocity then the acceleration vector would be 0

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
24
Q

3 law used for vector addition

A

Triangle law
Parallelogram law
Polygon law

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
25
Q

Magnitude of a vector calculated using its coordinates

A

|A| = √( x² + y² + z² )

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
26
Q

Sines of major angles

A 
0° = 0
30° = 1/2
45° = 1/√2
60° = √3/2
90° = 1
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
27
Q

Cosine of major angles

A 
0° = 1
30° = √3/2
45° = 1/√2
60° = 1/2
90° =0
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
28
Q

Coplanar vectors

A

Vectors lying in the same planes

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
29
Q

Sum of 2 vectors =

A

√(a² + b² + 2ab cosθ)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
30
Q

Angle between 2 vectors =

A

Q sinθ / P+Q cosθ

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
31
Q

1 radian definition and formula

A

Angle subtended at the centre of the circle by an arc equal to the radius of the circle

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
32
Q

1°= how many minutes and seconds

A 
1° = 60’
1’ =  60”
1° = 60 x 60” = 3600”
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
33
Q

Minutes and seconds of an angle are represented by

A

1 minute = 1’

1 second = 1”

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
34
Q

Positive angle

A

If the amount of rotation between 2 lines is in the anti clockwise direction, the angle is considered to be +ve.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
35
Q

Negative angle

A

If the amount of rotation between 2 lines is in the clockwise direction, the angle is considered to be -ve.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
36
Q

Angle definition

A

The amount of rotation needed to get the terminal side from the initial side.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
37
Q

Triangle vector addition method also called

A

Tail - Head method. The tail of the vector is joined to the head of the next vector.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
38
Q

Why is area considered to be scalar

A

Find area of a square with side 6 cm using graph. So take 2 length vectors with length 6 cm as x-y axes.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
39
Q

Dipole

A

A pair of equally and opposite charged particles separated by a distance.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
40
Q

δ :

A

Lowercase Greek delta

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
41
Q

What is a plane in physics

A

A “plane” is simply a flat (2-dimensional) surface. It could be a real or an imaginary surface. It’s a surface with no thickness or curvature in the third dimension. In theory it has no edges and so is infinite.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
42
Q

Why is current density a vector ?

A

It is defined as the product of charge density and velocity for any location in space…

J = ρv

43
Q

Sine of the angle 37°

A

3/5

44
Q

Sin of the angle 53°

A

4/5

45
Q

Cos of the angle 37°

A

4/5

46
Q

Cos of angle 57

A

3/5

47
Q

Tan of 90 is

A

Infinity

48
Q

Sin (90 - theta) =

A

Cos theta

49
Q

A vector v→ can be represented in another form like

A

V (bold face)

50
Q

Dipole moment vector direction

A

Direction is along the lines joining the charges from -ve to +ve . (Direction : -ve to +ve)

51
Q

Axial vectors definition

A

Vectors that represent rotational effect

52
Q

Orthogonal unit vectors

A

Set of mutually perpendicular unit vectors

53
Q

Equal vectors are like vectors , but not all like vectors are not equal vectors as :

A

Like vectors may or may not be equal.

54
Q

To describe position of a vector using position vector, we need to select a point called

A

Origin (O)

55
Q

Position vectors are represented by

A

→

r

56
Q

Angle between 2 vectors means

A

Smaller of the angle between the vectors when they are placed together.

57
Q

In triangle method of vector addition, the vectors to be added are kept in the direction of

A

Tail to head

58
Q

Direction of the resultant formula:

A

Tan α = b sinθ / (a + b cosθ)

59
Q

In parallelogram method of vector addition , vectors are added in …….. method

A

Tail to tail

60
Q

Polygon law of vector addition is similar to

A

It is similar to triangle method of vector addition but here , it is done repetitively.

61
Q

Resolution of a vector means

A

Splitting up of a single vector in different directions .

62
Q

Component vectors

A

Vectors which are formed by the resolution of a vector.

63
Q

Resolution of a vector is just opposite to

A

Composition of vectors.

64
Q

Maximum no of component vectors a vector can have

A

Infinity but for for sake of simplicity, it is resolved into 2 or 3 perpendicular vectors.

65
Q

Right handed vs left handed Cartesian coordinate system.

A

In right-handed Cartesian system the positive x and y axes point right and up, and the negative z axis points forward.
In left- handed Cartesian system , it is same , but the positive z axis point forwards instead of the negative one.

66
Q

Adding of perpendicular vectors [Easy]

A

|a| = √[a(x)² + a(y)² + a(z)²]

This is because as cos of 90 is 0

67
Q

Resolution of vectors can be used for simplified ……… of vectors

A

Addition

68
Q

If the multiplication of 2 vectors results in a scalar it is called

A

Scalar product or dot product.

69
Q

Scalar product of 2 vectors is done by

A

A . B = |a| |b| cos θ

A.B - read as a dot b

70
Q

The scalar product properties

A

Commutative

Distributive

71
Q

We can find the angle between 2 vectors by scalar product

A

Cos θ = (a x b) / (|a| x |b|)

72
Q

Power is defined as the dot product of

A

Force and velocity

73
Q

If the multiplication of 2 vectors is a vector then it is called

A

Vector product

74
Q

Vector product is also called as the

A

Cross product and is read as a cross b

75
Q

The resultant of a vector product always points

A

Perpendicular to the plane formed by vectors a and b

76
Q

Vector product formula

A

C = |a| x |b| x sin θ

77
Q

Direction of the resultant of the cross product is determined by the

A

Right hand thumb rule

78
Q

Vector product of 2 parallel vectors is

A

0 as the angle between them is 0 and as sin of 0 is 0.

79
Q

Vector product properties

A

Not commutative as directions of resultant change.

E.g. A x B = -B x A

80
Q

Vector product multiplication orders and signs

A

i x j = k
j x k = i
i x k = j
If the order is changed, then the resultant changes sign and becomes negative, that means the direction changes , that means the direction of the resultant becomes perpendicular in the downward direction.

81
Q

Example of vectors that are results of vector products

A

Torque and angular momentum.

82
Q

Torque is defined as the vector product of

A

The cross product of the position vector (radius) and the force vector.

τ = r x f

83
Q

Angular momentum is represented by

A

L

84
Q

Angular momentum can be defined as the vector product of

A

Position vector (radius) and linear momentum

L = r x p

85
Q

If the multiplication of 2 vectors results in a scalar it is called

A

Scalar product or dot product.

86
Q

Scalar product of 2 vectors is done by

A

A . B = |a| |b| cos θ

A.B - read as a dot b

87
Q

The scalar product properties

A

Commutative

Distributive

88
Q

E.g. of vectors formed by scalar products

A

Work and power

89
Q

We can find the angle between 2 vectors by scalar product

A

Cos θ = (a x b) / (|a| x |b|)

90
Q

Work is defined as the dot product of

A

Force and displacement

91
Q

Power is defined as the dot product of

A

Force and velocity

92
Q

If the multiplication of 2 vectors is a vector then it is called

A

Vector product

93
Q

Vector product is also called as the

A

Cross product and is read as a cross b

94
Q

The resultant of a vector product always points

A

Perpendicular to the plane formed by vectors a and b

95
Q

Vector product formula

A

|a x b| = |a| x |b| x sin θ

96
Q

Direction of the resultant of the cross product is determined by the

A

Right hand thumb rule

97
Q

Vector product of 2 parallel vectors is

A

0 as the angle between them is 0 and as sin of 0 is 0.

98
Q

Vector product properties

A

Not commutative as directions of resultant change.

E.g. A x B = -B x A

99
Q

Vector product multiplication orders and signs

A

i x j = k
j x k = i
i x k = j
If the order is changed, then the resultant changes sign and becomes negative, that means the direction changes , that means the direction of the resultant becomes perpendicular in the downward direction.

100
Q

Example of vectors that are results of vector products

A

Torque and angular momentum.

101
Q

Torque is defined as the vector product of

A

The cross product of the position vector (radius) and the force vector.

τ = r x f

102
Q

Angular momentum is represented by

A

L

103
Q

Angular momentum can be defined as the vector product of

A

Position vector (radius) and linear momentum

L = r x p

Physics (17 decks)

Brainscape helps you reach your goals faster, through stronger study habits.
© 2024 Bold Learning Solutions. Terms and Conditions