Can the sum of the magnitudes of two vectors ever be equal to the magnitude of the sum of the same two vectors? If no, why not? If yes, when? , ayuda por favor.
Pregunta de Inglés · 1 respuesta · 2 votos · mejor respuesta de Sandra224
En resumen
1. The magnitude of the sum of two vectors is maximum when they are parallel ( = sum of their magnitudes) and is minimal when they are antiparallel ( = difference of their magnitudes) ; therefore the answer is yes. 2.
1. The magnitude of the sum of two vectors is maximum when they are parallel ( = sum of their magnitudes) and is minimal when they are antiparallel ( = difference of their magnitudes) ; therefore the answer is yes.
2. Returning to the idea above, if they are antiparallel, the magnitude of the difference = sum of their magnitudes, therefore, is greater than the magnitude of one of them.
Obviously, in that case the magnitude of its sum would be = the difference of its magnitudes, which is less than the magnitude of the difference.
Again the answer to both questions is yes.
If you want to make a graphic demonstration, you just have to draw a couple of vectors with the common origin and use the parallelogram method.
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