dajimmier9isan
Answered

Construct a subset of XY plane R^2 that is:

Aclosed under vector addition & subtraction, but not under scalar multiplication
Bclosed under scalar multiplication, but not vector addition & subtraction

Verified Answer :

meerkat18

Based on your question the possible answer would be 
a) set of all (u.v) such that u and v are ratios of p/q of integers.
 b) set of all (u.v) where u=0 or v=0.
 How can these vectors be closed for one and not closed for the other operation??

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