1. (15 points)
The linear combination of vectors $v^T=[1,2,0]$ and $w^T=[0,0,1]$ fill a $plane$ in $R^3$.
Describe that plane with in matrix form.
Find one vector NOT that plane.
Find a vector perpendicular to that plane.
2. (10 points)
I. A vector $v = (1,1,\dots,1)$ in 9-dimensions, please find a unit vector $\hat{v}$ in the same direction as $v$.
II. Find another unit vector $\hat{w}$ that is perpendicular to $v$.