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## Homework Statement

## Homework Equations

definition of null vector,

## The Attempt at a Solution

null vector : ## |0 \rangle = (0,0,0) ##

inverse of (a,b,c) = ( - a, -b, -c)

vector sum of the two vectors of the same form e.g. (c,d,1) + ( e,f,1) = ( c+e, d+f, 2) does not have the same form. So, the vectors of the form ( a,b,1) do not form a vector space.

Is this correct?

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