Question

what is the angle between 2 Newton force and 3 Newton force so that their resultant is 4 newton​

Answer 1

Answer:

ANSWER

Let the two vectors be A and B, and their resultant be R.

Let the angle between A and B be θ

A=2N

B=3N

R=4N

Now R

2

=A

2

+B

2

+2ABcosθ

So,4

2

=2

2

+3

2

+2×3×4cosθ

So, 16=4+9+24cosθ

So, 16=13+24cosθ

So, 3=24cosθ

So,

24

3

=cosθ

So, cosθ=1/8

So, θ=cos

−

1(1/8)

Answer 2

Answer:

Let the two vectors be A and B, and their resultant be R.

Let the angle between A and B be θ

A=2N

B=3N

R=4N

Now R

2

=A

2

+B

2

+2ABcosθ

So,4

2

=2

2

+3

2

+2×3×4cosθ

So, 16=4+9+24cosθ

So, 16=13+24cosθ

So, 3=24cosθ

So,

24

3

=cosθ

So, cosθ=1/8

So, θ=cos

−

1(1/8)