Vector Properties: Does Length Affect Components?

[nuuskur]

Is there something said about $\lim_{||v||\to 0} \frac{v_i}{||v||}$? Is it correct to assume if the length of a vector approaches 0, then any component of that vector has to approach 0, aswell?

 

[DannyMoretz]

I would say yes... check out the proof I did... which I think works.. and similarily with substituting into y.

 

[DrClaude]

I would say yes... check out the proof I did... which I think works.. and similarily with substituting into y.

It is against the rules at PF to give answers like that. You should've asked the OP to calculate the limits himself/herself.

 

[nuuskur]

I didn't post this in a homeworks' section and it isn't one, either. I was merely curious and couldn't find relevant info on it myself, since my English is bad.

 

[DrClaude]

I didn't post this in a homeworks' section and it isn't one, either. I was merely curious and couldn't find relevant info on it myself, since my English is bad.

Sorry, I didn't pay attention to the section. But I wanted to mention it to Danny, who is new here. It would still have been better to start by pointing you in the right direction.