Can any one say what is the necessary and sufficient conditions for

  • Thread starter Thread starter godel
  • Start date Start date
  • Tags Tags
    Conditions
AI Thread Summary
A vector is defined as an entity possessing both magnitude and direction, which can be added to other vectors and multiplied by scalars. While vectors can be represented by tuples of real or complex numbers, this numerical representation is not essential to the definition of a vector. Examples of vectors include physical quantities like displacement, velocity, and electric fields. In quantum mechanics, wavefunctions and molecular vibrations are also treated as vectors. Thus, the necessary and sufficient conditions for being a vector extend beyond numerical representation to include these fundamental properties.
godel
Messages
3
Reaction score
0
can anyone say what is the necessary and sufficient conditions for being a tuple of real numbers ,a vector?
 
Physics news on Phys.org


You can represent a vector by its components, which are numbers, real or complex. But it is only the representation of vectors.
The definition of "vector" does not need numbers. Vector is an entity that has "magnitude" and "direction", can be added to an other vector and multiplied by a "scalar", and so on. The displacement of a body is vector, the velocity is also a vector, the electric field is vector...
The wavefunctions in quantum mechanics are considered vectors, the vibrations of a molecule also can be treated as vectors and there are other examples.

ehild
 
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
View full post »

Similar threads

What is the necessary and sufficient condition?
Replies
34
Views
3K
Motion of Rolling Cylinder in Fixed Cylinder: Confusing Constraint Condition
Replies
2
Views
3K
MHB Necessary and Sufficient Meaning of Isometries by D. J. H. Garling
Replies
5
Views
2K
B Which conditions should I check to see if a quadrilateral is a square?
Replies
17
Views
2K
A Boundary conditions sufficient to ensure uniqueness of solution?
Replies
4
Views
2K
Importance/Use of Gauss' Law and Ampere's Circuital Law
Replies
30
Views
1K
Necessary and sufficient condition for an electron to radiat
Replies
3
Views
1K
I Maxwell's equations PDE interdependence and solutions
Replies
5
Views
2K
Necessary and sufficient condition for differentiability
Replies
6
Views
9K
What are the correct conditions for Simple Harmonic Motion?
Replies
2
Views
2K

Hot Threads

Recent Insights

Back
Top