English

Which property allows us to expand โƒ—๐ด ร— (โƒ—๐ต + โƒ—๐ถ) as โƒ—๐ด ร— โƒ—๐ต + โƒ—๐ด ร— โƒ—๐ถ?

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Question

Which property allows us to expand \[\vec A\] × (\[\vec B\] + \[\vec C\]) as \[\vec A\] × \[\vec B\] + \[\vec A\] × \[\vec C\]?

Options

  • Commutative property

  • Anti-commutative property

  • Associative property

  • Distributive property

MCQ
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Solution

Distributive property

Explanation:

The distributive property of the cross product states that A × (B + C) = A × B + A × C, allowing us to expand cross products over vector addition.

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