I had read this Formula Somewhere,

That If Two Forces act at An angle theta, The resultant Force is

\(\sqrt{{a}^{2}+{b}^{2}-2 Cos Theta}\)

Is it Correct? Also, I want to Know, If a force acts At an Angle Theta From horizontal, What is the Resultant Force?

Kindly Provide me With the Formulas. I shall study Further From the Wiki. Thanks!

## Comments

Sort by:

TopNewestIt is \( \sqrt{a^2 + b^2 + 2ab\cos(\theta)} \), where \( \theta \) is the angle between the two vectors.

Edited for clarity. – Siddhartha Srivastava · 1 year, 11 months ago

Log in to reply

– Mehul Arora · 1 year, 11 months ago

Between The root of the Two vectors means? Can you give an example?Log in to reply

Img

While the angles in the pic below this is wrong. Notice how the vectors don't have the same starting points in the example below.

Img

Log in to reply

– Mehul Arora · 1 year, 11 months ago

Okay! If a force acts At an Angle Theta From horizontal, What is the Resultant Force?Log in to reply

– Siddhartha Srivastava · 1 year, 11 months ago

If there is exactly one force, then the resultant force would be equal to the force itself.Log in to reply

@Siddhartha Srivastava – Mehul Arora · 1 year, 11 months ago

I got it. Thanks For your helpLog in to reply