Please help me with these questions Which vector space axioms are false or true for these two different sets of points in the (x, y) plane? (give reasons or counterexamples for each axiom/set) y |x| Create two lines which are wholly within in the plane P := ( x y z) * ( 5 -2 3) = 11 but which do not ever intersect. Find the equation of a line L within P which is perpendicular to your lines from and determine where L intersects with them both, and hence determine the distance between the lines. Solution Vector space axioms are a) ALL Axioms are true for first one. b) y>|x| if x>=0Â Â y>x if x<0 then y>-x b) y=(5, -2, 3) x+ (a,b,c) put any values of a,b,c .