6. A wave with $\omega = 10 \text{ s}^{-1}$ and $\vec{k} = 7\hat{x} + 6\hat{y} - 3\hat{z} \text{ m}^{-1}$ has phase $\phi = \pi/3$ at the point (0,0,0) at t = 0.
(a) Calculate the wavelength of the wave.
(b) At what time will this value of phase reach the point (1, 1, 1) m?
(c) What is the phase at the point (1, 0, 0) m at t = 1 s?
(d) What is the phase velocity of the wave?