Question

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

Answer 1

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

Answer 2

tell me what the notation means

Answer 3

v is a vector
and yes

Answer 4

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

Answer 5

i cannot prove it because it is false

Answer 6

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

Answer 7

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)