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Problem in Vector Resolution and Component 
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#1
May1413, 04:12 AM

P: 48

I cannot understand what is vector resolution.It is said in the book that ON is the resolved part of A along X axis.It is also known as the xcomponent of A or the horizontal component of A.Ax may be regarded as the projection of A on Xaxis. OM is the the resolved part of A along Yaxis.It is also known as the ycomponent of A or vertical component of A.The vertical component of A may be regarded as the projection of A on Yaxis.Now what is that projection? Is it the image of A on Xaxis or Y axis?
Then why Ax+Ay=A and not A=Ax or A=Ay?If Ax and Ay are the images of A on X and Y resp. then the magnitude of Ax and Ay should be same as A,but no, why? Please explain me.I am very much confused. 


#2
May1413, 03:20 PM

Sci Advisor
P: 6,030

If A = (a,b), then the x axis projection is (a,0) while the y axis projection is (0,b).
It is quite simple  don't let the terminology confuse you. 


#3
May1413, 04:04 PM

P: 3

And, by the way A_{x}+A_{y} ≠ A. Using the Pythagoras theorem, (A_{x})^{2}+(A_{y})^{2} = A^{2}. What the book might have meant would have been, was vector A_{x}+vector A_{y} = vector A. By writing vector, I am also considering the direction. While, above, I was only talking about magnitudes. With a little practice, you would easily understand the difference between the vector and it's magnitude. So, good luck!! 


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