Vector Addition Calculator

Your details

Choose whether to work in two or three dimensions.
In polar mode, enter each vector as a magnitude and a direction angle in degrees measured from the positive x-axis.
Choose whether to add or subtract vector b from vector a.
x-component of the first vector.
y-component of the first vector.
x-component of the second vector.
y-component of the second vector.
When on, vector a is multiplied by alpha and vector b by beta before the operation.
Magnitude
7.2111

Length of the resultant vector

Result x4
Result y6
Direction angle (x-y plane)56.31deg
Unit vector(0.5547, 0.83205)
Result x4
Result y6
Result z-

Resultant magnitude: 7.2111

  • The resultant vector has magnitude 7.2111 and points at 56.3 degrees from the positive x-axis.
  • The resultant vector is in Quadrant I (positive x and y).
  • Vector addition is commutative: a + b equals b + a. Subtraction is not: a - b is the opposite direction of b - a.

Next stepTo find the dot product or cross product of these two vectors, use a dedicated dot product or cross product calculator.

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