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Title: 2 vectors in 3d with known magnitudes and known angle between them. Find the 2 vectors, showing work? Post by: Firedancer51 on Jan 26, 2013 maybe use arccos/dot product and arcsin cross product related to the angle.
Title: 2 vectors in 3d with known magnitudes and known angle between them. Find the 2 vectors, showing work? Post by: rizzi on Jan 26, 2013 Without a basis, there is not enough information.
Even if you had enough information to place one vector, the other vector could lie anywhere in a cone around the first vector, while still meeting your "magnitude, angle" criteria. If you assume the first vector is co-axial with the x axis, you'd still need 2 angles to fix the second vector in space to a unique solution. Title: 2 vectors in 3d with known magnitudes and known angle between them. Find the 2 vectors, showing work? Post by: rizza mae on Jan 26, 2013 The problem is indeterminate. Consider any two vectors in 3D of given fixed magnitudes and given angle between them. Rotate the pair rigidly (imagine them glued together to form one rigid structure). Their magnitude wouldn't change under this rotation, nor would the angle between them. However, their x-, y-, and y- components would change. You would end up with different vectors! More information is needed to make the problem determinate.
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