Question

The Nearest Neighbor Method provides exact solutions to the traveling salesperson problems.

a) True
b) False

Answer 1

The Nearest Neighbor Method does not provide exact solutions to the traveling salesperson problem, as it's a heuristic that serves for approximation, not an exact method. Other items in the list primarily deal with physics concepts like displacement, vectors, and wave interference, with answers tailored to understanding basic principles in kinematics and wave theory.

Step-by-step explanation:

The statement that the Nearest Neighbor Method provides exact solutions to the traveling salesperson problem is false. The Nearest Neighbor Method is a heuristic algorithm used for approximating the shortest possible route that visits a set of locations. While it is quick and easy to implement, it doesn't always provide the most efficient route.

Now, let's address the other true or false questions briefly:

1. Displacement for both persons is the same regardless of the order of movement (false).
2. Displacement will be the same regardless of order (true).
3. We can use the Pythagorean theorem to calculate the length of the resultant vector when vectors are at right angles (true).
4. A vector can form the shape of a right angle triangle with its x and y components (true).
5. The magnitude of total displacement will be the same had directions been followed correctly (false).
6. The position vs time graph of an object speeding up is a straight line (false).
7. The mean of a sampling distribution of the means is approximately the mean of the data distribution (true).
8. Closest to the same meaning as hypothesis is suggestion (d).
9. The observed frequency becomes infinite when the source moves at the speed of sound (false).
10. The amplitude of one wave is affected by the amplitude of another wave only when they are aligned (false).