A) show geometrically that, for any scalar k and any vectors

**u and v**,

**k(u-v)=ku-kv**
B) illustrate for

** k>0 **that

** k(u+v)=ku+kv**
Note: bolded are vectors (arrows on top)

ok so these two questions are quite similar.. I think, but I am still having trouble on "proving" them. I am not sure if my method is O.K. (no answers in back of book), so can someone please verify or demonstrate the correct method. Thanks in advance

A) ku-kv=ku-kv

is this ok? does it prove the q?

B) well I thought about this as for any constant number k, it has to be greater than 0 because otherwise the resultant will be 0 and does not prove ku+kv

what about this question?