In the analytical method, we use the Pythagorean theorem to find the magnitude of the resultant because .

it obeys the law of vector addition

Explanation:

In the analytical method, we use the Pythagorean theorem to find the magnitude of the resultant because it obeys the law of vector addition.

The resultant of two vectors A and B is given by;

R' = A' +  B'

Therefore, Pythagorean theorem is used if the two quantities are vectors and vector quantities obey the law of vector addition.

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