For the third property, shouldn't it be |a v| = |a||v|? Because it should hold for all scalars a.
I agree, because the norm cannot be negative. So if a is negative, it would mean |av| is negative, which cannot happen.
Correct—this is simply a typo. Thanks!
For the third property, shouldn't it be |a v| = |a||v|? Because it should hold for all scalars a.
I agree, because the norm cannot be negative. So if a is negative, it would mean |av| is negative, which cannot happen.
Correct—this is simply a typo. Thanks!