F=(2xy +z³)i + x³j + 3xz²k find a scalar potential and work done in moving an object in the field from (1,-2,1) to (3,1,4)​

Step-by-step explanation:

Given:

This field will have a scalar potential if it satisfies the condition . While the first x- and y- components of are satisfied, the z-component doesn't.

Therefore the field is nonconservative so it has no scalar potential. We can still calculate the work done by defining the position vector as

and its differential is

The work done then is given by

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

mk./km: lm

step-by-step explanation:

,mlmlm

; mk

lk