Question

two vectors having equal magnitude A make an angle thita with each other.
find the magnitude and direction of the resultant.​

Answer 1

Answer:

Two vectors having equal magnitude makes an ∠θ

Let the magnitude of each vector be A is:

R=

(A

2

+A

2

+2A×Acosθ)

=

[2A

2

(1+cosθ)]

2A

2

×2cos

2

θ

=2Acos

2

θ

Now,

Direction :

Let angle between any one of vectors and thne resulatant be θ

tanθ=

Acosθ+A

Asinθ

=

1+cosθ

Sinθ

=

2cos

2

2

θ

2sin

2

θ

.cos

2

θ

By using, sinθ=2sin

2

θ

cos

2

θ

and 1+cosθ=2cos

2

2

θ

=tan

2

θ

It means that, tanθ

′

=tan

2

θ

θ=

2

θ

Step-by-step explanation:

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