What would the angles be for a 3D vector?
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Hi, I've got a vector with components, x, y and z. I need to know the x, y and z angles for that vector.
I assume that the x-angle would be atand(max(y)/max(x))) and I also assume that the y-angle is 90-x.
Would those be correct for a 3D vectors definition of a x and y angle? Also, how do I calculate the z-angle?
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Answers (1)
Roger Stafford
on 6 Dec 2013
Let x, y, and z be the vectors' three components. The angle the vector makes relative to the positive x-axis can be computed as:
ax = atan2(sqrt(y^2+z^2),x);
Similarly ay and az, the angles with respect to the y and z axes, are given by:
ay = atan2(sqrt(z^2+x^2),y);
az = atan2(sqrt(x^2+y^2),z);
These are somewhat more accurate than using the ax = acos(x/sqrt(x^2+y^2+z^2)) type formula. Note that the resulting angles are in radians.
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