Question

calculate the angle between two newton.anda three newton force so that their resultant is four newton​

Answer 1

Answer:

Angle between the 2 vectors = cos⁻¹ (1/4)

Explanation:

Let the,

2 vectors be P and Q

Resultant of 2 vectors be R

angle between P and Q be α

Then,

$\boxed{R = \sqrt{P^{2} + Q^{2} + 2PQcos\alpha } }$

In the given question,

P = 2N

Q = 3N

R = 4N

Putting these values in we get,

$4=\sqrt{2^{2} +3^{2} + 2*2*3cos\alpha } \\4^{2} = 2^{2} +3^{2} + 12cos\alpha\\16 = 4+9+12cos\alpha \\12cos\alpha = 16-13\\12cos\alpha =3\\cos\alpha = \frac{3}{12}$

$cos\alpha = \frac{1}{4}\\\alpha =cos^{-1} (\frac{1}{4} )$

Answer 2

Explanation:

mark me the brainliest ❤️❤️❤️