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Question

If for two vector ,→A and →B, sum (→A+→B) is perpendicular to the difference (→A−→B). The ratio of their magnitude is

A
1
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B
2
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C
3
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D
None of these
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Solution

The correct option is A 1
(A+B) is perpendicular to (AB)
Thus (A+B).(AB)=0
Commutative property of dot product A.B=B.A
A2B2=0 or A=±B
Thus the ratio of magnitudes
AB=1 (since , magnitude cannot be negative)

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