Express F3 as a Cartesian vector.

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I did i= sin(45)=-i/750 so i=-750sin(45)=-530i
cos (45)j/750 so j=350cos(45)=530j
I don't know what I didn't wrong because the computer says that i is not involve. Are my answer wrong?

You are correct. It is clear that F3 has both i and j components