Question

how do i find a zero vector when given X:=(1,x)

Answer 1

Do you mean a vector perpendicular to this one, so the inproduct of the two will be zero?
A zero vector would just be (0,0).

Answer 2

if you mean perpendicular/orthogonal, then it would be \((-1,~x-x)\)

Answer 3

@yummydum: I think you've made a mistake.

If theinproduct is to be zero, switch the numbers and negate of them:
(1,x) • (x, -1) = 1*x + x*(-1) = x - x =0.

So (x, -1) would be a good choice, or (-x,1).

Answer 4

oops! sorry yes, i was thinking of something else

Answer 5

Hey...@yummydum! Stay focused! ;)

Answer 6

lol, I'm tryin