$.(20$ points$)$ Suppose that v and w are vectors in the plane $2$x$$y$+3$z $=5.($a$)(5$ points$)$ Give a unit vector that is perpendicular to both v and w$.($There are two potential correct answers, I will accept either.$)$

$(5$ points$)$ If v has length $3,$ and w has length $2,$ and the angle between them is $/3$ radians, then what is v $$ w if we also know that v $$ w has positive k component.