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October 30th, 2011, 08:01 AM   #1
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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
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October 30th, 2011, 09:38 AM   #2
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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 (x2-x1, y2-y1, z2-z1).
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October 30th, 2011, 10:02 PM   #3
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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
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October 31st, 2011, 08:13 AM   #4
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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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