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So basically I'm looking for a way to calculate the x, y and z component of a vector using 2 angles as shown:
Where alpha is the 2D angle and beta is the y angle.
What I've been using uptill now for 2D vectors was:
x = Math.sin(alpha);
z = Math.cos(alpha);
After searching on stackexchange math I've found this forumula doesn't really work correctly:
x = Math.sin(alpha)*Math.cos(beta);
z = Math.sin(alpha)*Math.sin(beta);
y = Math.cos(beta);
Note: when approaching 90 degrees with the beta angle the x and z components should approach zero. All help would be appreciated.
657
The angle of a 3D vector is the angle from the vector directly to each of the 3 positive axes. The angles are named alpha (x-axis), beta(y-axis) and gamma(z-axis). They are always positive and between 0 and 180 inclusive. They are called direction angles.
A 3D vector is a line segment in three-dimensional space running from point A (tail) to point B (head). Each vector has a magnitude (or length) and direction. Remember, the fundamentals will not change because we are just adding another dimension here.
The proper formulas would be
x = Math.cos(alpha) * Math.cos(beta);
z = Math.sin(alpha) * Math.cos(beta);
y = Math.sin(beta);
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