Calculate angle from vector.

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  05 May 2013
Calculate angle from vector.

Hi,I'm trying to calculate angle from vector. It seems simple.

my test code is here:

proc test(){
    vector $a = <<0, 1, 0>>;
    vector $b = <<0.5, 0.5, 0>>;
    float $c = $a * $b;
    float $mag_a = mag($a);
    float $mag_b = mag($b);
    float $theta = ($a*$b)/($mag_a * $mag_b);
    $theta = $theta * 180 / 3.14;
    print ("theta = " + $theta + "\n");

theta = 40.53478363

I think it`s 45.0 in mathematically,but The result ange is uncorrect.
It`s nearly 45.0 .
Is there are any items missing? or formula is uncorrect?

Please give me advice.

Sorry for my poor English.
  05 May 2013

It seems like your saying that θ = (a*b)/(|a|*|b|) but that equation is incorrect, the correct equation is cosθ = (a*b)/(|a|*|b|) --> θ = arccos((a*b)/(|a|*|b|)).

Hope this helps,

Last edited by hazmondo : 05 May 2013 at 07:00 PM.
  06 June 2013
Hi, if using Maya might want to checkout the built-in angleBetween Node or MEL/Python command. Hope this is helpful.

  06 June 2013
PyMEL could really clear this up in a quick way. here is what you were doing. it was indeed 45 degrees:

import pymel.core as pm
# make vectors
vec1= pm.dt.Vector(0,1,0)
vec2= pm.dt.Vector(0.5,0.5,0.0)
# get angle between in radians
radians = vec1.angle(vec2)
#get degrees
degrees = pm.dt.degrees(radians)
Check out my "Intro to PyMEL Training Video" at -- maya python the OOP way!
  06 June 2013
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