First off am I correct to say that we are in R^2. The set spans a plane. I know that <1,2> and <2,4> run on the same line, but <5,1> allows us to move through the plane? Letter c and d I don't understand what I am supposed to be putting.
C. would it be <x,y> = C<1,2> we know that it's in the span? or <x,y> = 2 <1,2>
D. I don't know where there wouldn't be a vector on the plane?
Thank you for your help
QuIz 1, PRACTICE Names 11HEHTI 1. (4 points) Answer the following questions regarding span (a) The vectors in this set are in Rn, where n = (b) This set spans a (circle one): point / line / plane 3 dimensional space /4 dimensional space (c) List one vector in the span, indicating the coefficients (i.e., scalars) that show this vector is in the span. (d) List one vector not in the span, explaining how you know it is not in the span OR explain why it is impossible to list such a vector.