Relativistic Vectors: Find Transformation Between A & B

AI Thread Summary
The discussion revolves around finding the transformation between two 4-vectors, A = (5,4,3,0) and B = (5,5,0,0). Participants express confusion about the question and seek clarification. Key points include that the time coordinates of both vectors are identical and that the lengths of their spatial components are equal. This indicates the need for a spatial transformation that maintains spatial length. The focus is on understanding the nature of the transformation required to relate A to B.
Niles
Messages
1,834
Reaction score
0

Homework Statement



Two 4-vectors are given by A = (5,4,3,0) and B = (5,5,0,0). I have to find out, which type of transformation comes out when transforming A over in B.

The Attempt at a Solution



I don't even think I understand the question. Can you give me a hint?
 
Physics news on Phys.org
Niles said:

Homework Statement



Two 4-vectors are given by A = (5,4,3,0) and B = (5,5,0,0). I have to find out, which type of transformation comes out when transforming A over in B.

The Attempt at a Solution



I don't even think I understand the question. Can you give me a hint?

1) The time coordinates of the two 4-vectors are the same.

2) The lengths of the spatial 3-vectors are the same.

This means that you're looking for a spatial transformation that preserves spatial length.
 

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Writing a vector parallel and normal to a unit vector ##\hat n##
Replies
26
Views
1K
Vector problem -- Find the angle between vector A and vector B
Replies
8
Views
2K
Electric field vector equation: Finding the neutral point for two charges
Replies
35
Views
2K
Understanding the Derivation of Relativistic Mass in Inelastic Collisions
Replies
2
Views
2K
The derivative of the dot product "distributes" over each vector
Replies
5
Views
702
Needs clarity on this displacement vector diagram
Replies
3
Views
1K
Find the magnetic induction vector
Replies
3
Views
744
Basics of Vectors -- Parallel versus Co-Planar
Replies
3
Views
2K
Handling two SHMs in different directions
Replies
18
Views
917
Kinematics, curvilinear motion (a couple of questions)
Replies
30
Views
2K

Hot Threads

Recent Insights

Back
Top