Asked by chris
show that if u dot v = u dot w for all u, then v = w.
You can use the result of the previous problem:
http://www.jiskha.com/display.cgi?id=1184622247
Linearity of the inner product implies
u dot v = u dot w ----->
u dot(v-w) = 0
This is true for all u, therefore the result of the previous problem says that:
v - w = 0 ---->
v = w
You can use the result of the previous problem:
http://www.jiskha.com/display.cgi?id=1184622247
Linearity of the inner product implies
u dot v = u dot w ----->
u dot(v-w) = 0
This is true for all u, therefore the result of the previous problem says that:
v - w = 0 ---->
v = w