Two vectors →A and →B as such that →A+→B=→A−→B. Then
A
→A.→B=0
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B
→A×→B=0
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C
→A=0
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D
→B=0
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Solution
The correct option is A→A.→B=0 Given→A+→B=→A−→B⇒∣∣∣→A+→B∣∣∣=∣∣∣→A−→B∣∣∣⇒∣∣∣→A+→B∣∣∣2=∣∣∣→A−→B∣∣∣2⇒∣∣∣→A∣∣∣2+∣∣∣→B∣∣∣2+2→A.→B=∣∣∣→A∣∣∣2+∣∣∣→B∣∣∣2−2→A.→B⇒4→A.→B=0⇒→A.→B=0