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Which mathematical equation correctly represents the Commutative Law of vector addition for two vectors โƒ—๐‘ƒ and โƒ—๐‘„?

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Question

Which mathematical equation correctly represents the Commutative Law of vector addition for two vectors \[\vec{P}\] and \[\vec{Q}\]?

Options

  • \[\vec{P} + \vec{Q} + \vec{R} = 0\]

  • \[\vec{P} - \vec{Q} = \vec{Q} - \vec{P}\]

  • \[\vec{P} + \vec{Q} = \vec{Q} + \vec{P}\]

  • \[(\vec{P} + \vec{Q}) + \vec{R} = \vec{P} + (\vec{Q} + \vec{R})\]

MCQ
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Solution

\[\vec{P} + \vec{Q} = \vec{Q} + \vec{P}\]

Explanation:

The Commutative Law states that the order in which two vectors are added does not change the final resultant vector.

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