If the magnitude of the resultant of two vectors of equal magnitudes is equal to the magnitude of either vectors, then the angle between two vectors is?

domlais6oh

domlais6oh

Answered question

2023-02-06

If the magnitude of the resultant of two vectors of equal magnitudes is equal to the magnitude of either vectors, then the angle between two vectors is?

Answer & Explanation

Gerardo Goodman

Gerardo Goodman

Beginner2023-02-07Added 7 answers

The answer to the question is that the magnitude of the two vectors' resultant is equal to the magnitude of either vector
So,
Let A and B be given two vectors.
We can write
| A | = | B | = | R | = x
We know that the magnitude of the vecors is given as
R = A 2 + B 2 + 2 A B cos θ
or
x 2 = x 2 + x 2 + 2 x 2 cos θ
or
x 2 = 2 x 2 cos θ
Therefore
cos θ = 1 2 θ = 120

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