Final answer:
The Euclidean length of the vector ⃗ = (0,3,4,0) is 5.
Step-by-step explanation:
The Euclidean length of a vector is the magnitude of the vector. In this case, the vector is given as ⃗ = (0,3,4,0). To find the magnitude, we use the formula ||x|| = sqrt(x₁² + x₂² + x₃² + x₄²), where x₁, x₂, x₃, and x₄ are the components of the vector. Plugging in the values, we get ||x|| = sqrt(0² + 3² + 4² + 0²) = sqrt(25) = 5.