:confused: does anyone know how to find the magnitude of a vector because I can add and subtract them and all that stuff but I can not find the magnitude and the heading... so if someone could help me that would be nice!:confused:
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:confused: does anyone know how to find the magnitude of a vector because I can add and subtract them and all that stuff but I can not find the magnitude and the heading... so if someone could help me that would be nice!:confused:
As Pythagoras' theorem shows: the magnitude of a vector V is
For the heading you need to use basic trigonometry, form a triangle and use the lengths you know to work out the angle you need.
Capuchin's answer is correct but I thought you might like to have it spelled out a bit more.
Lets assume you have a vector V which starts atand ends at
means "magnitude of V"
The direction can be found like capuchin said, with trig.
Here's the vector V starting at (x1,y1) and ending at (x2,y2).
Code:(x2,y2)
/|
/ |
V/ |dy
/ |
/----|
(x1,y1) dx
Now you want the angle of the vector V. I found this image that will explain what to do. Replace the x and y with the dx and dy you found above.is the angle of V.
http://upload.wikimedia.org/math/5/3...c0153a4044.png
As an aside, Capuchin, |V| is the magnitude of V, do you recall what symbol is used for the angle of V? I feel like there is something but I can only recall how to denote the unit vector.
I don't believe there is one, you just use I, j and k, the direction information is there :/
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