Question

3. For the level surface (x, y, z) = c, gradient of o represents
(A) unive vector
(B) tangent vector
(C) normal vector
(D) radius vector​

Answer 1

Answer:

normal vector

Step-by-step explanation:

please mark it as brainlist because I want only 1 brainlist answer

Answer 2

For the level surface (x, y, z) = c, the gradient of o represents (C) Normal vector

A 'level surface' for the given function is a surface upon which the given function is constant.

We can see that the given function is constant for all x, y, and z. So, the derivative of the function in the direction tangent to the surface will be zero.

This means that the gradient of this function will be perpendicular to the tangent. Similarly, it will be perpendicular to all the tangents from that surface, and hence perpendicular to the whole surface.

Therefore, the gradient will represent a normal vector.