Let V be a finite dimensional inner product space and It be a subspace . ( 1 ) Show orthogonal complement WV + of is subspace of !

Question is from Advanced Linear Algebra . Question is taken from the topic inner product spaces.

5 . Let V be a finite dimensional inner product space and It be a subspace .( 1 ) Show orthogonal complement WV + of " is " subspace of !`( 2 ) Show that dim ( V ) - dim ( W ) + dim ( It )`