- #1

- 92

- 1

## Homework Statement

show that ## V\prime=\sqrt{ V_{x}^\prime{ ^2} + V_{y}^\prime{ ^2} + V_{z}^\prime{ ^2}} = c## -------------1

## Homework Equations

##V_{x}^\prime{ ^2}=\frac{V_x - V }{1-{\frac{V V_x}{c^2}}}## -----------------2

##V_{y}^\prime{ ^2}=\frac{V_y \sqrt{1-{\frac{V^2}{c^2}}}}{1-{\frac{V V_x}{c^2}}}## ------------3

##V_{z}^\prime{ ^2}=\frac{V_z \sqrt{1-{\frac{V^2}{c^2}}}}{1-{\frac{V V_x}{c^2}}}## -----------4

## The Attempt at a Solution

i tried to just substitute the 3 equations (2,3,4) in eq. 1 but i didnt get the right answer

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