If the sum A - B of two vectors A and B equals the difference A - B between them- thenA- neither A not B is a null vectorB- A is a null vectorC- both A and B are null vectorsD- B is a null vector

The correct option is D B is a null vectorGiven A⃗ + B⃗ = A⃗ – B⃗ Which gives B⃗ = – B⃗. This is possible only if B⃗ is a null vector. Hence the correct choice ...

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Standard XII

Physics

Vector Addition

If the sum A ...

Question

If the sum $\to A + \to B$ of two vectors A and B equals the difference $\to A - \to B$ between them, then

A is a null vector

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B is a null vector

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both A and B are null vectors

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neither A not B is a null vector

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Solution

The correct option is B B is a null vector
Given $\to A + \to B = \to A - \to B$
Which gives $\to B = - \to B$ . This is possible only if $\to B$ is a null vector.
Hence the correct choice is (b).

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The correct option is B B is a null vectorGiven →A+→B=→A–→B Which gives →B=–→B. This is possible only if →B is a null vector. Hence the correct choice is (b).

If the sum $\to A + \to B$ of two vectors A and B equals the difference $\to A - \to B$ between them, then

The correct option is B B is a null vector
Given $\to A + \to B = \to A - \to B$
Which gives $\to B = - \to B$ . This is possible only if $\to B$ is a null vector.
Hence the correct choice is (b).