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

Correct Answer is : both A and B are null vectors

neither A not B is a null vector

RRB Paramedical Staff Nurse Model Paper 6

Question : 92 of 100

Marks: +1, -0

If the sum

A↖{→}+B↖{→}

of two vectors A and B equals the difference

A↖{→} - B↖{→}

between them, then

Solution:

Given

A↖{→}+B↖{→}=A↖{→}-B↖{→}

Which gives

B↖{→}=-B↖{→}

This is possible only if

B↖{→}

is a null vector
Hence the correct choice is (b)

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