Let E be the inner product space. Consider that the vector space E x E can be equipped by the norm 1(2, y)1 = lal+ ly, (x, y) EEx E , where ac Hac = ac . 2 is the norm given by the inner product in space . Then consider that the projection descriptions p1 (x, y) = x and p2 (x, y) = y , when (x, y) E E X E , are continuous ExE - E . a.) Show that 4x . y = lactyl2 - |x -y|2 forall x, yeE . b.) Conclude that the inner product map (x, y) > x . y is a continuous E x E -> R by using theory