Let and
Calculate
I'm not sure your notation makes sense as it is. is a function of two(?) (real?) variables taking values in , and is a function of a single (real?) variable taking values in , so is not properly defined. I expect with a bit of effort we could make some sort of guess about what this is supposed to denote but it would be better if you sorted it out.
CB
I figured that F(r(t)) could be worked out by using the vector format and taking xi,yj,zk to equal the values of the three points of r(t) taking the y value as 0y, and then integrate the dot product between this value and r(t), which is what i am stuck on but the question i have been set is written exactly as i have put on here.
In textbooks i have used, F seems to be denoted by F(r), but i don't know if thats actually a completely separate value!