Find the curl of F equal to the angle bracket sine x times cosine z comma sine y times sine z comma cosine x times cosine y close angle bracket at the point comma pi over 2 comma pi over 2. The definition of the curl of F is angle bracket R sub y minus Q sub z comma p sub z minus r sub x comma Q sub x minus P sub y close angle bracket.

So let's find all of those partials So that the curl of F is equal to angle bracket negative cosine x times sine y minus sine y cosine z comma negative sine x times sine z plus sine x cosine y comma 0 minus 0 close angle bracket.

Now all that's left is to evaluate at the point 0 comma pi over 2 comma pi over 2 for x, y and z respectively. So this is equal to at this point angle bracket negative 1 times 1 minus 1 times 0 comma negative 0 times 1 plus 0 times 0 comma 0. So that the curl of F at this point is equal to negative 1i, that it would be angle bracket negative 1 comma 0 comma 0. And again, another way to write that would be negative i. When evaluated at the point 0 comma pi over 2 comma pi over 2.