Title Vector Analysis Lecture 05 06_06_2022.pdf ✅

Gradient of Scalar Point Function Gradient of a scalar point function ∅ x, y, z is mathematically defined as ∇∅ = ∂∅ ∂x i Ƹ+ ∂∅ ∂y j Ƹ + ∂∅ ∂z k෠ Physical Interpretation: Gradient of a scalar point function ∅ x, y, z at a point P is a vector quantity whose magnitude is equal to the rate of change of ∅ x, y, z with distance along the normal to the surface defined by the equation ∅ x, y, z = C and direction is along the normal to that surface. 2