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Resultant Forces. Need Help!

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!

Note by Mehul Arora
2 years, 1 month ago

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

Edited for clarity. Siddhartha Srivastava · 2 years, 1 month ago

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@Siddhartha Srivastava Between The root of the Two vectors means? Can you give an example? Mehul Arora · 2 years, 1 month ago

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@Mehul Arora :/ I don't know why I wrote that.Disregard that. Basically, the angle between the vectors has to be taken when both of them have the same starting point. For example, this is the correct angle,

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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.

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Siddhartha Srivastava · 2 years, 1 month ago

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@Siddhartha Srivastava Okay! If a force acts At an Angle Theta From horizontal, What is the Resultant Force? Mehul Arora · 2 years, 1 month ago

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@Mehul Arora If there is exactly one force, then the resultant force would be equal to the force itself. Siddhartha Srivastava · 2 years, 1 month ago

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@Siddhartha Srivastava I got it. Thanks For your help @Siddhartha Srivastava Mehul Arora · 2 years, 1 month ago

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