# Questions tagged [vectors]

Geometric object with magnitude (length) and direction.

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### Can one of the component of a vector have the same magnitude of the vector? [closed]

In vectors, if a vector is broken down into its components then can one of the components of the vector have the same magnitude of the vector itself??
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### Why do we use vectors in quantum mechanics?

I've been trying to make my understanding of quantum mechanics more mathematically rigorous, but I'm struggling a bit with the lack of intuition behind the fact that we represent quantum states with ...
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### Is the right hand rule a trick to avoid tensors?

I have read in this answer that "to represent angular momentum as a vector you need to use a right hand rule. This is annoying, because physics at ordinary scales is reflection invariant but ...
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### How is velocity defined in circular motion in central force field?

In my view the velocity is change of displacement in the increasing direction of displacement. Now in circular motion in central force field the particle is changing its direction then how is the ...
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### Direction of Coriolis force [closed]

My doubt is all about finding the direction of coriolis force by using the direction of the moving object. I really find it difficult to determine the direction of coriolis force through direction of ...
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### Would a $y$ axis affect the $x$ axis in a free body diagram? [closed]

Would a $y$ axis affect the $x$ axis in a free body diagram? like forces and all that can you add them or use them together. Or they do not interfere each other?
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### What does parity operation mean on a vector represented in polar form

Recently i studied vector's mathematical meaning (i.e the vectors transforms the same way as co- ordinate system) and our teacher introduced us to parity operation and how vectors transforms under it. ...
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### Triangle of Forces - 4 forces

If 3 vectors can be rearranged in a triangle in which only the head and tails of the vectors make contact, i.e. there is no head to head or tail to tail contact, then equilibrium seems to be the case, ...
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### Torque acting on car trailers

My question: "Which car trailer below will be moved in a straight forward line?" Relevant info: All forces (represented by the arrows) in the diagram are equal in magnitude. The car trailer diagrams ...
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### Basic vector calculus: Show that $\nabla \vec{r} = \vec{1}$ [closed]

Show that $\nabla \vec{r} = \vec{1}$ My instructor in my E & M class put the $r$ and $1$ in bold. I am not sure what a bold one means. From my work I get $1ii + 1jj + 1zz$.
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### A block on inclined plane

A block of mass $m$ is placed on an inclined plane (a ramp). If a constant force $f$ is applied to the ramp so that it is accelerating horizontally at a proper rate, the block will remain at the same ...
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### Vector rotations and quantum mechanics [closed]

Quantum mechanics deals with wave function and complex numbers that can be seen as vectors in 2D plane. I am interested in vector rotations and there use in quantum mechanics. What is the role that ...
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### Does it make sense to multiply a unit by a negative number?

I was thinking about the way our system of units of work, and I realized that we have been multiplying units (such as for lengths) by negative numbers, when dealing with vector quantities; positive ...
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### Elements of vector algebra and particle physics

What does scalar, vector, pseudovector and pseudoscalar particles have to do with the concept of scalar, polar vectors and axial vectors in vector algebra?
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### Why is work scalar and the dot product of force and displacement?

I asked many people why work is scalar. But the questions and the answers just cycles. My question : Why is work a scalar quantity? Their answer : Because it is the dot product of Force and ...
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### Are contravariant basis vectors and basis 1-forms identical?

The reason I'm asking this is because I am trying to develop a set of notes from my reading of MTW (and Wrede, Menzel, Bergman, etc.). I represent covariant basis vectors with $\mathfrak{e}_{i}$, ...
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### What is the actual meaning of dot product of 2 vectors? [duplicate]

I couldn't get the physical significance of dot product
Suppose a particle is moving in the $xy$ plane with $$x=at, \quad y=at(1-bt),$$ where $a$ and $b$ are positive constants. When will the velocity vector and acceleration vector be perpendicular? I ...