Question

THE GRADIENT OF xi+yj+zk is

Answer 1

Answer:

grad(xi+yj+zk)=1+1+1=3

Explanation:

since gradient of any position vector is 3

Answer 2

Given: A vector xi+yj+zk

To find: Gradient of the given vector

Solution: The gradient of any vector is nothing but a multi variable function and can be calculated by finding the derivative of each part of the vector

So partial derivative of the vector will be

∂f/∂x= 1

∂f/∂y= 1

∂f/∂z= 1

And the gradient is also a form of a vector that consists of these derivatives.

So, the gradient will be < 1,1,1 >

Therefore, the gradient of the given vector xi+yj+zk is < 1,1,1 >.