Prove that for all . v= |v|2. for all v R3

Question

Prove that for all  .  v= |v|2. for all  v R3

myininaya · Answer

is v a vector?
and we are trying to prove $$v=|v|^2$$
im pretty sure |v| means magintude
vector can't be equal to its magintude unless the vector is 1 by 1 and only has positive or neutral entry

myininaya · Answer

tell me what the notation means

anonymous · Answer

v is a vector
and yes

myininaya · Answer

this doesn't make sense to me 
is there anything missing?
i can give a counterexample

myininaya · Answer

i cannot prove it because it is false

anonymous · Answer

and the last part VR3
**V E R cubed sry

myininaya · Answer

pretend we have v=<-3,0,4> |v|=sqrt{9+0+16}=sqrt{25}=5 |v|^2=25 but 25 does not equal <-3,0,4> that is why im saying the statement is false and i cannot prove it i can only provide you with this counterexample (and more if you like)