The subspace U of {4 is spanned by the vectors 2 1 111 = 0 and u2 = _1 1 U 1 2 Let UJ be the orthogonal complement of U. 2 Suppose that v = : is a vector in R4. 1 J. (at) Your friend Jesse knows that the vector v can be uniquely expressed as v : ui u , where u E U and UL EUi. Find 11 and uJ and enter your answers. in lvlaple syntax. in the boxes below. 11 = @ uJ : Q a Note: The vector 6 , in Maple syntax. should be entered as C (b) Geometrieally, U is a plane through the origin in 4 and v is the position vector of a point A in R4. Find the exact value of the shortest distance of A from the plane U. Enter your answer, in Maple syntax, in the box below. @ Note: The expression W, in Maple syntax, should be entered as sqrt(n)