how to represent scalar and vector quantity
Answers
Answer:
•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.
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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.
Comparison between Scalars and Vectors
Criteria Scalar Vector
Definition A scalar is a quantity with magnitude only. A vector is a quantity with the magnitude as well as direction.
Direction No direction Yes there is the direction
Specified by A number (Magnitude) and a Unit A number (magnitude), direction and a unit.
Represented by Quantity symbol Quantity symbol in bold or an arrow sign above
Example Mass and Temperature Velocity and Acceleration
Characteristics 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.
There are different types of vector are
there:-
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 \vec{A}
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.
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.
