How to Calculate Vector Components in Different Coordinate Systems?

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To calculate the vector components of A and B in different coordinate systems, trigonometric functions such as sine and cosine are essential. For vector A, the x component is 0 and the y component is -3.5 m in system 1. The discussion highlights difficulty in determining the x and y components of vector B in system 1, as well as both vectors in system 2. Understanding the angles and applying the correct trigonometric formulas is crucial for solving these components. Mastering these calculations is necessary for accurate vector analysis in physics.
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Homework Statement


Let A= (3.5 m, vertically downward) and B = (4.1 m, 120° clockwise from ). Find the x and y components of and in each of the two coordinate systems shown in Figure Ex3.21. (attached)


Homework Equations





The Attempt at a Solution



I already have 0 for the x component of A for system 1 and -3.5 for the y component of of A for system one...I can't figure out the B x and y for system 1 . I can't find the A x&y and B x&y for system 2 help!
 

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I can't seem to understand part 1
 
gbedenba said:

The Attempt at a Solution



I already have 0 for the x component of A for system 1 and -3.5 for the y component of of A for system one...I can't figure out the B x and y for system 1 . I can't find the A x&y and B x&y for system 2 help!

You'll need to use trigonometry (sin and cos) to find the x and y components of the vectors.
 

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