Finding Vector Components Using Angle and Magnitude | Vector A along Vector B

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To find the component of vector A along vector B, one can use the angle between them to calculate A(cos theta) for the component along B. The discussion emphasizes treating vector B as a "pseudo x-axis" to simplify calculations. The correct approach involves using the dot product, specifically V vector . B cap, which can be expressed as V vector . B vector divided by the magnitude of B vector. This method clarifies how to accurately determine vector components in relation to another vector. Understanding these concepts is crucial for solving vector component problems effectively.
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Homework Statement


To find the component of one vector A along another vector B.

Homework Equations


Components are A(cos theta) and A(sin theta)

The Attempt at a Solution


What I tried was to consider the vector B as a "pseudo x axis" and draw a subsequent "pseudo y axis". Then, using angle between them, I found A(cos theta).
I'm not sure this is the correct method, so could someone point out how correctly to find it?
 
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To find the component of a vector ##\vec V## in the direction of real x axis, you compute ## \vec V \cdot \hat x##. What will it become for your "pseudo x axis"?
 
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Ok, so if it is V vector . x cap, then for for V vector along B vector it should be
V vector . B cap, or rather, V vector . B vector / Magnitude(B vector), right?

NOW I got it! Thnx a ton man!
 
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