A matter wave is represented by the wave function:\(\psi (t,x,y,z) = A e^{i (4x+ 3y +9z-5\pi t)} \), where A is a constant. The direction of wave propagation is given by?
1
\(\hat{k} = \frac{1}{\sqrt{106}} ( 4 \hat{x} + 3 \hat{y} + 9 \hat{z}) \)
2
\(\hat{k} = \frac{1}{\sqrt{106}} ( 3 \hat{x} + 4 \hat{y} + 9 \hat{z}) \)
3
\(\hat{k} = \frac{1}{\sqrt{106}} ( 4 \hat{x} + 9 \hat{y} + 3 \hat{z}) \)
4
\(\hat{k} = \frac{1}{\sqrt{106}} ( 9 \hat{x} + 3 \hat{y} + 4 \hat{z}) \)