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In triangle ABC, which of the following is not true? (a) ̅AB +̅BC +̅CA =̅ 0 (b) ̅AB +̅BC −̅AC =̅0

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Question

In triangle ABC, which of the following is not true?

Options

  • `bar(AB) + bar(BC) + bar(CA) = bar0`

  • `bar(AB) + bar(BC) - bar(AC) = bar0`

  • `bar(AB) + bar(BC) - bar(CA) = bar0`

  • `bar(AB) - bar(CB) + bar(CA) = bar0`

MCQ
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Solution

`bb(bar(AB) + bar(BC) + bar(CA) = bar0)`

Explanation:

By triangle law of vector addition

`bar(AB) + bar(BC) = bar(AC)`

or `bar(AB) + bar(BC) = -bar(CA)`

or `bar(AB) + bar(BC) + bar(CA) = bar0`

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