Assertion -Consider the points A- B and C The vector sum- A-B-B-C-C-A-0- Reason- A- B and C form the vertices of a triangle-

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Standard XII

Mathematics

Addition of Vectors

Assertion :Co...

Question

Assertion :Consider the points A, B and C
The vector sum, $\to A B + \to B C + \to C A = \to 0$
Reason: A, B and C form the vertices of a triangle.

Assertion and Reason are correct and the Reason is the correct explanation for the Assertion.

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Assertion and Reason are correct but the Reason is not the correct explanation for the Assertion.

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Assertion is correct while the Reason is incorrect.

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Assertion is incorrect while the Reason is correct.

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Solution

The correct option is C Assertion is correct while the Reason is incorrect.
According to the vector rule if the direction of any side is opposite to other vector side then the sum of all vector is equal to the vector whose direction is opposite to all So
$\to A B + \to B C = \to A C$
$\to A B + \to B C = - \to C A$
$\to A B + \to B C + \to C A = 0$

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Assertion :Consider the points A, B and C The vector sum, →AB+→BC+→CA=→0 Reason: A, B and C form the vertices of a triangle.

Assertion :Consider the points A, B and C
The vector sum, $\to A B + \to B C + \to C A = \to 0$
Reason: A, B and C form the vertices of a triangle.