Not so easy on Inequalities

Algebra Level 3

\(If\quad \quad { a }^{ 2 }+{ b }^{ 2 }=1\quad \\ \quad \quad \quad { c }^{ 2 }+{ d }^{ 2 }=1\\ { \quad \quad \quad p }^{ 2 }+{ q }^{ 2 }=1\\ What\quad is\quad the\quad maximum\quad value\quad of\quad ab+cd+pq? \)

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