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Dot Product of Two Vectors

Multiply two vectors element by element and add the results: the core operation of every neuron.

Lo que aprenderás

  • Multiply vectors element by element and sum
  • Understand the core operation of a neuron
  • Work with number arrays

Problema

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Every neuron starts with the same calculation: multiply each input by its weight and add everything up. That is the dot product of two vectors:

a · b = a₁×b₁ + a₂×b₂ + … + aₙ×bₙ

Implement dot_product(a, b).

Input

a, b: Two lists of numbers with the same length.

Output

Return the dot product as a decimal number.

Restricciones

1 ≤ length of a = length of b ≤ 1,000

-1,000 ≤ each value ≤ 1,000

Ejemplos

Ejemplo 1
Entrada:
a = [1.0, 2.0, 3.0]
b = [4.0, 5.0, 6.0]

Salida esperada:
expected = 32.0
Entrada:
std::vector<double> a = {1.0, 2.0, 3.0};
std::vector<double> b = {4.0, 5.0, 6.0};

Salida esperada:
double expected = 32.0;
Entrada:
double[] a = new double[] {1.0, 2.0, 3.0};
double[] b = new double[] {4.0, 5.0, 6.0};

Salida esperada:
double expected = 32.0;

Explicación

1×4 + 2×5 + 3×6 = 4 + 10 + 18 = 32.

Ejemplo 2
Entrada:
a = [0.5, -1.5]
b = [2.0, 4.0]

Salida esperada:
expected = -5.0
Entrada:
std::vector<double> a = {0.5, -1.5};
std::vector<double> b = {2.0, 4.0};

Salida esperada:
double expected = -5.0;
Entrada:
double[] a = new double[] {0.5, -1.5};
double[] b = new double[] {2.0, 4.0};

Salida esperada:
double expected = -5.0;

Explicación

0.5×2 + (-1.5)×4 = 1 - 6 = -5.

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