Find the orthogonal complement s⊥. (enter each vector in the form [x1, x2, . enter your answers as a comma-separated list.) s is the subspace of r8 consisting of all vectors whose seventh and eighth components are zero.

Span([0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1]), which is equivalent to the plane described by the seventh and eighth components of R8.

Best answer that i found on yahoo ok   set :   x= length of 2nd piece in cm  x- 3= length of 1st piece in cm  x-4= length of 3rd piece in cm  then since you know they all came from the 20 cm ribbon you add them together and set them equal to 20x+ x-3 +x-4 = 20  3x - 7= 20  3x= 27  x= 9  the shortest piece is the third piece which is x- 4  x-4  9-4 = 5  the length of the smallest piece is 5 cm.  the other lengths are  9 cm  6 cm