The sum of two vectors of fixed magnitudes has its minimum magnitude when the angle between these vectors is

Question

Litzy Bird

Mathematics

7 October, 20:46

The sum of two vectors of fixed magnitudes has its minimum magnitude when the angle between these vectors is

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Answers (1)

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June Carpenter · Answer 1

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°.