- #1
Pual Black
- 92
- 1
Hello
i have to find the Lorentz transformation for arbitrary velocity (v) relative to (O)
the information's i have:
1-i have to use all 3 components of velocity ##(V_x, V_y, V_z )##
2- ##x'=\frac{x-vt}{\sqrt{1-\frac{v^2}{c^2}}}##
##y'=y##
##z'=z##
3- ##V_x'=\frac{V_x-V}{1-\frac{VV_x}{c^2}}##
##V_y'=\frac{V_y\sqrt{1-\frac{v^2}{c^2}}}{1-\frac{VV_x}{c^2}}##
##V_z'=\frac{V_z\sqrt{1-\frac{v^2}{c^2}}}{1-\frac{VV_x}{c^2}}##
i searched the internet and this forum and found that i have to use a matrix to solve this question but i don't know how to do that.
i have to find the Lorentz transformation for arbitrary velocity (v) relative to (O)
the information's i have:
1-i have to use all 3 components of velocity ##(V_x, V_y, V_z )##
2- ##x'=\frac{x-vt}{\sqrt{1-\frac{v^2}{c^2}}}##
##y'=y##
##z'=z##
3- ##V_x'=\frac{V_x-V}{1-\frac{VV_x}{c^2}}##
##V_y'=\frac{V_y\sqrt{1-\frac{v^2}{c^2}}}{1-\frac{VV_x}{c^2}}##
##V_z'=\frac{V_z\sqrt{1-\frac{v^2}{c^2}}}{1-\frac{VV_x}{c^2}}##
i searched the internet and this forum and found that i have to use a matrix to solve this question but i don't know how to do that.