What is hector quantity in terms of physical quantities . Other than vector and scalar quantities??
Answers
Answer:
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Explanation:
Scalars and Vector Quantities
Scalar Quantities: The physical quantities which are specified with the magnitude or size alone are scalar quantities. For example, length, speed, work, mass, density, etc.
Vector Quantities: Vector quantities refer to the physical quantities characterized by the presence of both magnitude as well as direction. For example, displacement, force, torque, momentum, acceleration, velocity, etc.
VectorsCharacteristics of Vectors
The characteristics of vectors are as followed –
They possess both magnitudes as well as direction.
They do not obey the ordinary laws of Algebra.
These change if either the magnitude or direction change or both change.
Unit Vector
A unit vector is that vector which is a vector of unit magnitude and points in a particular direction. The unit vector in the direction of
→
A
is
^
A
and is defined by –
| A |
^
A
=
→
A
The unit vectors along the x, y and z-axis is
^
i
,
^
j
, and
^
k
respectively.
Equal Vectors
Vectors A and B are equal if | A | = | B | as well as their directions, are same.
Zero Vectors
Zero vector is a vector with zero magnitudes and an arbitrary direction is a zero vector. It can be represented by O and is a Null Vector.
Vectors
Negative of a Vector
The vector whose magnitude is same as that of a (vector) but the direction is opposite to that of a ( vector ) is referred to as the negative of a ( vector ) and is written as – a ( vector ).
Parallel Vectors
A and B are said to be parallel vectors if they have the same direction, or may or may not have equal magnitude ( A || B ). If the directions are opposite, then A ( vector ) is anti-parallel to B ( vector ).
Coplanar Vectors
If the vectors lie in the same plane or they are parallel to the same plane, the vectors are said to be coplanar. If not, the vectors are said to be non – planar vectors.
Displacement Vectors
The displacement vector refers to that vector which gives the position of a point with reference to a point other than the origin of the coordinate system.
Solved Question for You
Question 1: State for each of the following physical quantities, if it is a scalar or a vector.
Volume, Mass, Speed, Velocity, Displacement, Acceleration, Density, Number of Moles, Angular Frequency, Angular Velocity, Displacement
Solution.
A scalar is the one that is specified by its magnitude. It does not have any direction associated with it. Some of the scalar physical quantities are – Volume, Speed, Mass, Density, Number of Moles and Angular Frequency.
Whereas a Vector quantity is the one which is specified by its magnitude as well as its direction that is associated with it. Some of the vector quantity are velocity, acceleration, displacement and angular velocity.
Therefore,
Scalar: Volume, Mass, Speed, Velocity, Density, Number of Moles, Angular Frequency
Vector: Acceleration, Velocity, Displacement, Angular Velocity.
Question 2: Pick out the two scalar quantities in the list.
Force, Work, Angular Momentum, Current, Linear Momentum, Electric field, Average Velocity, Relative Velocity, Magnetic Moment
Solution. The scalar quantities from the mentioned are Work and Current.
Work done is the dot product of force and displacement. Since the dot product of two quantities is always a scalar, therefore, work is a scalar physical quantity.
Current refers to the one in which the direction is not taken into consideration and is described only by its magnitude. Henceforth, it is a scalar quantity.