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Clarification on volume integral
A tetrahedron V has vertices (0,0,0), (1,0,0), (0,1,0) and (0,0,1). Find the centre of volume, given by
I'm fairly sure I know how to do this, but I just need to clear a few things up.
Firstly, dividing by V? A solid object? Is this just meant to mean the volume of V, or is this something that'll become clear in later lectures?
Also, what is x? It's written as a vector, so do put it into x,y,z as or is it just ?
Thanks, and sorry for probably silly questions
You're right that it's terrible notation. You should divide by the volume of V. And x = (x,y,z) (where dV is shorthand for dx dy dz - yet more terrible notation, because they've already called the tetrahedron V). Vector calculus, eh...
Done. Thank you 
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