This vector addition calculator can add up to 10 vectors at once.
DIRECTION must be entered in degrees, increasing ‘counterclockwise’. In rather unscientific terminology, a vector pointing directly to the ‘right’ has a direction of zero degrees. A vector pointing straight ‘up’ has an angle of 90 degrees. A vector pointing to the ‘upper left’ is at a 135 degree angle and so on. (see diagram below)

MAGNITUDES can be in any units but you must BE CONSISTENT. For example, if you are inputting pounds then ALL magnitudes have to be in pounds. The same would apply to newtons, dynes, etc. So you may use any magnitude units you like but DO NOT MIX UNITS.

As a practice example try entering these 4 vectors:

  1. 4 newtons 127 degrees
  2. 3 newtons 37 degrees
  3. 2 newtons 290 degrees
  4. 6 newtons 190 degrees

Scroll down to the bottom and click CALCULATE. Your answers should be:

5.6337 newtons and 158.35 degrees.

M A G N I T U D E D I R E C T I O N
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Here’s hoping this calculator either meets or exceeds ALL your vector addition requirements.
Good luck with those physics problems !!!

Numbers are displayed in scientific notation with the amount of significant figures you specify. For easier readability, numbers between .001 and 1,000 will not be in scientific notation but will still have the same precision.
You may change the number of significant figures displayed by changing the number in the box above.
Most browsers, will display the answers properly but if you are seeing no answers at all, enter a zero in the box above, which will eliminate all formatting but at least you will see the answers.