and 
in 
are to
be equal, they must be equal component by component. For example, if the
vectors 
and 
are equal (ie. 
) then the following two statements must
be true:
If two vectors are equal, then they must have the same magnitude and direction.
It is relatively easy to show that this translates into the following
statement: If two vectors, and in are to
be equal, they must be equal component by component. For example, if the
vectors and are equal (ie. ) then the following two statements must
be true:
