Question

are vectors [1, 0 ,1 ], [1, 1, 1] and [1, 0,-1] coplanar

Answer 1

2 of them are in the same plane, but that middle one seems to be sticking out of the box

Answer 2

... but then I could be sooo wrong too ;)

Answer 3

i still think the 1st and 3rd are planar but the 2nd one sticks off to the side

Answer 4

what is the span of these 3 vectors

Answer 5

A=Bi+CJ
[1,1,1]=i[1,0,1]+j[1,0,-1]
1=i+j
1=0j+0j -----> 1=0 nope
1=1i-1j

that's what I think, they are not coplanar

Answer 6

they are not coplanar.