00:01
In this question, we are given with a vector field x f of x, y, z equals to 3 times of e raised to the power x sin y, 3 times of e raised to the power y sin z and 3 and 2 times of e raised to the power z sin x.
00:27
Now, here we will be finding the coil of f.
00:32
So, coil of f will be equals to i, j, k and here it will be partial derivative with respect to x, partial derivative with respect to y and partial derivative with respect to z.
00:51
So, here the function x coordinate is 3 e raised to the power x sin y, 3 e raised to the power y sin z and 2 times of e raised to the power z sin x.
01:09
Now, here we are expanding this.
01:12
So, after expanding, we get i and leaving this column and this row.
01:18
So, we get del y del y of 2 e raised to the power z sin x minus here it will be del y del z of 3 times of e raised to the power y sin z and then minus j minus j it will be del y del x of 2 e raised to the power z sin x and minus minus del y del y del z of 3 times of e raised to the power x sin y, then plus k times of leaving this column and this row, we get del y del x of 3 times of e raised to the power y sin z minus del y del y of 3 times e raised to the power x sin y.
02:21
So, we have to simplify this...