If and Are Nonzero Subspaces of an Inner Product Space

question 4

True/False

If
and
are nonzero subspaces of an inner product space V, and v is any vector in V, then

.

---

Definitions:

Dominant Strategy

A strategy in game theory that yields the best outcome for a player, regardless of the opponent's actions.

Sherman Antitrust Act

The Sherman Antitrust Act is a landmark U.S. law passed in 1890 aimed at preventing anticompetitive practices and promoting fair competition.

Antitrust Policy

Legislation enacted by federal or state government to prevent new monopolies from forming and to break up those that already exist in order to promote competition and ensure fair practices in the marketplace.

Monopolies

A market structure characterized by a single seller who has exclusive control over a product or service, with no close substitutes.