D,e,f,g,h

1 1 0 151 1. Consider thevectorsu: 1,v= 1,w= 1 andz: 3552. 1 0 1 10:L' (a) Compute the area of the triangle inscribed by the vectors u and w. (b) Consider a plane that is parallel to the vectors v and w. Find two unit vectors perpendicular to this plane. (c) Let E be the line in R3 that passes through the point (1,2,3) and is perpendicular to both of the vectors v and w. Find an equation for the line E in vector form. (d) Find parametric equations for the line E. (e) Compute u - z in terms of 2:. (f) Find all values of a: for which u and z are orthogonal. (g) Compute the projection of the vector 2 onto 11; your answer should be a vector whose components are expressions in terms of :3. (h) Find a point P in R3 such that the points (0,0,0), (1,1,1), (1, 1,0), and P form