Two forces of 5N and 12N respectively act on the same point.show how you would determine the magnitude of the resultant by using the tail-to-head and tail-to-tails methods and pythagora's theorem.[13N]

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To determine the magnitude of the resultant of the two forces using the tail-to-head method, follow these steps:

1. Draw a vector to represent the first force of 5N starting from the origin (tail).
2. Draw a second vector to represent the second force of 12N starting from the head of the first vector.
3. The resultant vector is the vector drawn from the tail of the first vector to the head of the second vector. Measure the length of this vector.
4. The magnitude of the resultant force can be determined by the length of the resultant vector.

To determine the magnitude of the resultant using the tail-to-tails method, follow these steps:

1. Draw vectors to represent both forces starting from the same point (tail to tail).
2. Connect the head of the first vector to the tail of the second vector with a straight line.
3. The resultant vector is the line connecting the tail of the first vector to the head of the second vector. Measure the length of this line.
4. The magnitude of the resultant force can be determined by the length of the resultant vector.

Using Pythagora's Theorem to find the magnitude of the resultant:

1. Label the magnitude of the first force as 'A' (5N) and the magnitude of the second force as 'B' (12N).
2. Square the magnitudes of each force: A² = (5N)² = 25N² and B² = (12N)² = 144N².
3. Add the squares of both forces: A² + B² = 25N² + 144N² = 169N².
4. Take the square root of the result to find the magnitude of the resultant force: √(169N²) = 13N.

Therefore, using all three methods, we can determine that the magnitude of the resultant force is 13N.