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Math

Cross Product

Vector Cross Product

An operation on two 3D vectors producing a vector perpendicular to both, with magnitude equal to the parallelogram area they span.

Technisches Detail

Cross Product calculations are a source of common errors: a price increase from $100 to $150 is a 50% increase, but returning from $150 to $100 is a 33.3% decrease. Percentage points differ from percentages: an interest rate moving from 2% to 3% is a 1 percentage point increase but a 50% relative increase. In computing, floating-point arithmetic can introduce rounding errors — JavaScript's 0.1 + 0.2 = 0.30000000000000004. Use integer arithmetic (cents, basis points) for financial calculations.

Beispiel

```
Logarithm identities:

  log_b(x) = y  means  b^y = x

  log₁₀(1000) = 3   (10³ = 1000)
  log₂(256)   = 8   (2⁸ = 256)
  ln(e)       = 1   (e¹ = e ≈ 2.718)

  log(a × b) = log(a) + log(b)
  log(a / b) = log(a) - log(b)
  log(a^n)   = n × log(a)
```

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