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If Two Collinear Vectors A\overrightarrow { \mathrm { A } }

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If two collinear vectors A\overrightarrow { \mathrm { A } } and B\vec { B } are added,the resultant has a magnitude equal to 4.0.If B\overrightarrow { \mathbf { B } } is subtracted from A\overrightarrow { \mathrm { A } } ,the resultant has a magnitude equal to 8.0.What is the magnitude of A\overrightarrow { \mathrm { A } } ?


Definitions:

Personal Property

Property that includes movable items, such as furniture and vehicles, as opposed to real estate or real property.

Aggravated Robbery

A form of robbery that involves using a weapon, causing serious injury, or other threatening circumstances.

Simple Robbery

The act of unlawfully taking property from another person through force or threat of force, without the aggravating factors of armed robbery.

Misdemeanor

A criminal offense that is less serious than a felony and typically punishable by fine, penalty, or short-term imprisonment.

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