Subtracting two vectors -- I'm not getting the right answer

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The discussion revolves around the subtraction of two vectors, specifically vector a and vector b, where vector a is horizontal and vector b has an angle of 120 degrees. The user is struggling to find vector c, which is defined as c = b - a. Participants suggest breaking down the vectors into their x and y components to facilitate the subtraction process. The importance of showing work and using the Pythagorean theorem for calculations is emphasized. Clarification on the components will help resolve the user's confusion.
Aleksa
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Homework Statement
I have vector a=3 that is horizontal and vector b=3 with an angle of 120. They have same direction. I need to find c=b-a.
Relevant Equations
Pythagorean theorem
I added x and y-axis so it would be square, and then vector bx would be same as vector a, but a didn't get it right. I am out of ideas. Can you help me?
 
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:welcome:

I'm not sure I understand your question. Could you post a diagram of your vectors ##\vec a## and ##\vec b## and your attempt to find ##\vec c##?
 
Aleksa said:
Homework Statement:: I have vector a=3 that is horizontal and vector b=3 with an angle of 120. They have same direction. I need to find c=b-a.
Relevant Equations:: Pythagorean theorem

I added x and y-axis so it would be square, and then vector bx would be same as vector a, but a didn't get it right. I am out of ideas. Can you help me?
Welcome to PF.

What are the x and y components of each vector? What do you get when you do the vector subtraction component-wise? Please show your work. Thanks.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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