Consider the vectors @1 = (1,2,2), d2 = (2,2,1), and a3z = (2, 1,2). 1. Compute the projection matrices P, and P, onto the lines in the direction of @; and ds, respectively. Multiply those projection matrices and explain why their product is what it is. 2. Find the projection vectors pi, p2, and p3 of b= (1,0,0) onto the lines in the direction of @i, dz, and d@z. Add the three projections py + p2 + p3. What do you notice? Why does this make sense? 3. Find the projection matrix P3 onto the line directed by as, then find P + P> + P;. Comment on the result (explain why it makes sense)