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