Respuesta :

Answer:

  180°

Step-by-step explanation:

When the angle between the vectors is 0°, the magnitudes add, so the sum will be a maximum. When the angle between the vectors is 180°, the resultant has a magnitude equal to the difference of the vector magnitudes. For angles between those extremes, the sum will be somewhere between those extremes.

The sum is a minimum when the angle between the vectors is 180°.

fichoh

The minimum magnitude is obtained when two magnitude are summed when the angle between the vectors is 180°.

When the angle between the summed vectors is , the cosine value obtained will be ; cos(0°) is 1.

Hence, the sum of the magnitude will use the addition operator.

When the angle between two summed vectors is 180°, the cosine value obtained ; cos(180°) is -1. Hence, the sum of the magnitudes will use the subtraction operator due to the negative sign.

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