CALCULATOR
2D Vector Direction with Positive X Component Calculator
2D Vector Direction with Positive X Component. Example: X: 3 units, Y: 4 units gives 53.1301023542 degrees. 2D Cartesian vector, x>0; angle measured counterclockwise from+x, signed -90..90°. No unsupported quadrant claim. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.
2D Cartesian vector, x>0; angle measured counterclockwise from+x, signed -90..90°. No unsupported quadrant claim. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible. Derivation: Positive x places direction in principal right half-plane.
Accepted inputs: X: 0.001 to 10,000 units; Y: -10,000 to 10,000 units.
How the calculation works
θ=atan(y/x)×180/π
Worked example
With x 3 units, y 4 units, 2d vector direction with positive x component is 53.13010235 degrees.
Assumptions and limits
2D Cartesian vector, x>0; angle measured counterclockwise from+x, signed -90..90°. No unsupported quadrant claim. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible. Derivation: Positive x places direction in principal right half-plane.