Question

Two vectors P and have same magnitude and tita is angle between them, if tita = 90° then find
their resultant?​

Answer 1

Answer:

We have,

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