Mathematics is the queen of the sciences.C. F. Gauss

OONONNNO

2D vector analysis

Magnitudes, dot and cross products and angle between vectors.

6

Enter known values

Fill in the fields below — the result will appear alongside.

Formulas

∣a∣=ax2+ay2|a|=\sqrt{a_x^2+a_y^2}∣b∣=bx2+by2|b|=\sqrt{b_x^2+b_y^2}a⋅b=axbx+aybya\cdot b=a_xb_x+a_yb_ya×b=axby−aybxa\times b=a_xb_y-a_yb_xθ=arccos⁡a⋅b∣a∣∣b∣\theta=\arccos\frac{a\cdot b}{|a||b|}

How it works

Magnitudes, dot and cross products and angle between vectors.

Short ON link: /o/OONONNNO