l. In R3 the orthogonal projections of a given vector x = (x, y, 2) onto the x-axis, y-axis, and z-axis are Tx (x) = (x, 0, 0), T (x) = (0, y, 0), and '1'2 (x) = (0, O, 2) respectively. (24 points, 12 each) (a). Show that if T: R3 > R3 is one of the orthogonal projections defined above, then for any vector x in R3, the vector T(x) and x T(x) are orthogonal. (b). Make a sketch showing x, '1"z (x), and x T2 (x) in R3 space