Question

the magnitude of the resultant of two equal vectors is equal to the magnitude of either vector the angle between the two vectors what

Answer 1

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The answer is provided in the attachment.

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Answer 2

The magnitude of both vectors is the same |A|=|A|

(1) Make the magnitude of the resultant equal to vector A.

As a result, |A|=|B|=|A+B| gives the resultant. … (2) The magnitude of the product of two vectors is,

|A+B|→A^|2+|B^2+2|A||B|cosθ(3)

The result of the equation. (2) and a formula (3) We obtain,

|A^2|=|A^|2+|B^2+2|A||B|cosθ

|A|^2=|A|^2+|A^|2+2|A||A|cosθ

⇒|A|^2=2|A|^2+2|A||A|cosθ

⇒−|A|^2=2|A||A|cosθ

θ=120°

As a result, the angle formed by the two vectors is 120°.