# Vector Formula with multiple Equal signs?

## Main Question or Discussion Point

How do i go about solving the following equation? (Attached)

I am attempting to implement it into java. BUt i have not gotten any further than this:

wavenumber = new Vector2f(0.0f, 0.0f);
wavenumber.x = (float) (2 * Math.PI / wavelength);

Wikipedia Info for Equation:

In general, the angular wavenumber k (i.e. the magnitude of the wave vector) is given by

k = \frac{2\pi}{\lambda} = \frac{2\pi\nu}{v_\mathrm{p}}=\frac{\omega}{v_\mathrm{p}}
where \nu is the frequency of the wave, \lambda is the wavelength, \omega = 2\pi\nu is the angular frequency of the wave, and vp is the phase velocity of the wave. The dependence of the wavenumber on the frequency (or more commonly the frequency on the wavenumber) is known as a dispersion relation.

SOURCE:

http://en.wikipedia.org/wiki/Wavenumber

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AlephZero
It is just a short way of writing several different equations, $k = 2\pi/\lambda$, $k = 2\pi\nu/v_p$, $k = \omega/v_p$, etc.