To determine the wavelength of the wave, we need to find out how many complete cycles of the wave are contained in the distance between points A and B, which is given as 6 meters.
The formula for wavelength (λ) is:
\[ \text{Wavelength} = \frac{\text{Overall Distance}}{\text{Number of Cycles}} \]
However, without knowing the exact number of cycles between A and B, we can't calculate it directly. If we assume there was 1 full cycle between A and B (which is common in questions like this when no additional information is provided), the wavelength would be:
\[ \text{Wavelength} = \frac{6 \text{ m}}{1} = 6 \text{ m} \]
If there were 2 cycles in that distance, the wavelength would be:
\[ \text{Wavelength} = \frac{6 \text{ m}}{2} = 3 \text{ m} \]
If there were 3 cycles, it would be:
\[ \text{Wavelength} = \frac{6 \text{ m}}{3} = 2 \text{ m} \]
And so on.
If the wave completes 1 full cycle from A to B (meaning A and B correspond to the same point in a wave cycle), then the wavelength is 6 m.
If the question provided the total number of cycles between A and B, the answer might differ.
Based on the solutions presented, if no specific details are given regarding the number of cycles, the likely correct response is 6 m.