Question: We can transform an arbitrary non-zero vector v Rn into another vector v by dividing v by its norm. This process is called normalizing v.

We can transform an arbitrary non-zero vector v Rn into another vector v by dividing v by its norm. This process is called normalizing v. Prove or disprove the following statements. (a) v is a unit vector. (b) v is a scalar multiple of v. (c) v is a unit vector in the same direction as v. (d) v perpendicular to v

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