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October 30th, 2011, 09:01 AM  #1 
Newbie Joined: Oct 2011 Posts: 2 Thanks: 0  The angle between three vector
Hai , I have three point A(X1,Y1,Z1) , B(X2,Y2,Z2) and C(X3,Y3,Z3) How i can get the angle between A to B and A to C ( the angle form by vector AB and AC ) ? This is because most usual problem determine by original axis (that is ,A=(0,0,0) ) Thank You if any one can resolve ! Thank 
October 30th, 2011, 10:38 AM  #2 
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 6  Re: The angle between three vector
The vector from A(x1,y1,z1) to B(x2, y2, z2) is the same as the vector form (0,0,0) to (x2x1, y2y1, z2z1).

October 30th, 2011, 11:02 PM  #3 
Newbie Joined: Oct 2011 Posts: 2 Thanks: 0  Re: The angle between three vector
hai , i get what you have reply ! and another question , the distance and angle between vector AB and AC can be computed using vector BC or not ? for example , distance vector AB and AC = BC and again A is not (0,0,0) thank You 
October 31st, 2011, 09:13 AM  #4 
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 6  Re: The angle between three vector
If and then the vector from the tip of A to the tip of B is . The distance between them is, of course, . The angle between two vectors is given by their "dot product": so for the angle between vectors A and B, . 

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