Prove:
Let V be an inner product space. $W⊂V$ and $v∈V$.
Let $w∈W$ be an orthogonal projection. Then for every $u∈W ; ||w-v||<= ||u-v||$.
I really do not have a clue on how to solve this.
Prove:
Let V be an inner product space. $W⊂V$ and $v∈V$.
Let $w∈W$ be an orthogonal projection. Then for every $u∈W ; ||w-v||<= ||u-v||$.
I really do not have a clue on how to solve this.
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