The gradient of a scalar field V is a vector that represents both magnitude and the direction of the maximum space rate of increase of V.

The gradient of a scalar field V is a vector that represents both magnitude and the direction of the maximum space rate of increase of V. Correct Answer True

A gradient operates on a scalar only and gives a vector as a result. This vector has a magnitude and direction. The gradient is found by finding the speed that is by taking the partial differentiation.

Related Questions

Given below are certain facts about distance and displacement. Choose the option which gives the correct information about the two. A. It is a scalar quantity. B. It is a vector quantity. C. It can be zero. D. It cannot be zero. E. The quantity that is scalar is either equal or greater in magnitude than the quantity that is vector.
Consider a system described by ẋ = Ax + Bu y = Cx + Du The system is completely output controllable if and only if Where: x = State vector (n-vector) u = Control vector (r-vector) y = Output vector (m-vector) A = n × n matrix B = n × r matrix C = m × n matrix D = m × r matrix