How to Calculate Vector Addition
What is Vector Addition?
Vector addition combines vectors head-to-tail; results in resultant vector (parallelogram method or component-wise).
Step-by-Step Guide
- 1Input two vectors (component form)
- 2Add components: (a₁+b₁, a₂+b₂, a₃+b₃)
- 3Results show sum vector and magnitude
Worked Examples
Input
a=(3,4), b=(1,2)
Result
a+b=(4,6), |a+b|=√52≈7.21
Common Mistakes to Avoid
- ✕Adding magnitudes instead of components
- ✕Confusing with scalar multiplication
Frequently Asked Questions
Is vector addition commutative?
Yes, a+b = b+a (unlike subtraction).
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