Linear Algebra & Differential Equations

v⃗ = xଷ𝚤̂ + yଷ𝚥̂ + zଷk෠ is a vector field where 𝚤̂, 𝚥̂, k෠ are the base vectors of a cartesian coordinate system. Using the Gauss divergence theorem, the value of the outward flux of the vector field over the surface of a sphere of unit radius centered at the origin is________ (rounded off to one decimal place).