Vector Calculator – Add and Subtract
Find the sum and difference a − b of two 2D or 3D vectors. Use z = 0 for 2D.
Formula
a ± b = (aₓ ± bₓ, aᵧ ± bᵧ, a_z ± b_z).
Sum x ≈ (1)+(4) · Sum y ≈ (2)+(5) · Sum z ≈ (3)+(6) · Difference x ≈ (1)-(4) · Difference y ≈ (2)-(5) · Difference z ≈ (3)-(6)
How to use
- Enter the three components of a.
- Enter b in the same axes and units.
- Read the three components of each result.
Examples
- (1,2,3) + (4,5,6) = (5,7,9).
Frequently asked questions
Does subtraction order matter?
Yes. This form returns a − b; reversing the vectors reverses the result.
Can I use zero or negative values?
Yes. Components may be positive, negative or zero.
What units should I use?
Use one unit and coordinate system for both vectors. Results keep that unit.
Sources
Updated: