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when finding the sum of two vectors, the pythagorean theorem can be used to find the magnitude.
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The Pythagorean theorem ($a^{2}+b^{2}=c^{2}$) is applicable when dealing with right - angled triangles. In vector addition, if two vectors are perpendicular (at a right - angle to each other), the resultant vector (the sum of the two vectors) forms the hypotenuse of a right - angled triangle. The magnitude of the resultant vector can then be found using the Pythagorean theorem.
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When finding the sum of two perpendicular vectors, the Pythagorean theorem can be used to find the resultant magnitude.