Project ForgeEngineering Mathematics
Linear Algebra
GATE 2014
Easy
Gradient of a scalar variable is always
- a vector
- Ba scalar
- Ca dot product
- Dzero
Explanation
∇φ = (∂φ/∂x)i + (∂φ/∂y)j + (∂φ/∂z)k for a scalar field φ — this is by definition a vector (it points in the direction of steepest increase of φ).
Source: GATE CH 2014 (2014)
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