The gradient of scalar function is always (A) A scalar (B) A vector (C) Sometimes a scalar and sometimes a vector (D) Neither a scalar nor a vector
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Scalar is the answer
Option A is correct
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The gradient of scalar function is always vector.
- Gradient of a function is the vector of it in two-dimension.
- It is the derivative or the rate of change of a function.
- It is directed in the direction of the fastest function increase.
- It has a magnitude that is equal to the fastest increase in that direction.
- Since it has both magnitude and direction, it is a vector quantity.
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