What Are the Components of These Two Vectors?

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Vector A, measuring 3.28 m along the x-axis, has components Ax = 3.28 m and Ay = 0 m. Vector B, with a length of 190.6 cm at an angle of +25° to the x-axis, can be resolved into components using trigonometric functions, resulting in Bx and By. The resultant vector can be calculated by summing the respective components of A and B. To find the magnitude and direction of the resultant, apply the Pythagorean theorem and trigonometric ratios. Understanding these relationships is crucial for solving the problem effectively.
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Homework Statement



Vector A is 3.28 m long and points along the x axis. Vector B is 190.6 cm long and points at +25° to the positive x axis
(a) What are the components of Vector A?
(b) What are the components of Vector B?
(c) What is the resultant of these two vectors in terms of components?
(d) What is the resultant of these two vectors in terms of magnitude and direction

Homework Equations


I think we are trying to find Ax, Ay, Bx, and By


The Attempt at a Solution


I am not certain on where to begin here, any help would be good, thanks!
 
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Try drawing each vector in its own coordinate axis first with repsect to the origin. The magnitude of vectors will always be the norm or hypentenuse of a right triangle. Since you are given an angle with respect to the horizontal axis and a magnitude, you can use trig to break it apart into its components. Try that and see if you can't make sense of (c) & (d) from that relationship.

Joe
 
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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