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Wondering if you could help me on this one. If you have a vector in xyz, and you know the angles that the vector is inclined at to two of the axis, how do you find the 3rd one.

eg, line inclined at 60˚ to the x axis and 45˚ to the y axis, how do you find the inclination to the z axis (which is 60˚ or 120˚ by the way) I know it has something to do with direction ratios and direction cosines, but don't know how to get there. I also know that direction cosines add up to 1, but I can't find a connection.

Thanks in advance

Rob