Given that →a⋅→b=0 and →a×→b=0, what can you conclude about the vector →a and →b?
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Solution
→a⋅→b=0 |→a|=0 or |→b|=0 or →a⊥→b .........(i) →a×→b=0 |→a|=0 or |→b|=0 or a||b .........(ii) By eqn. (i) and (ii), It can be concluded that |→a|=0or|→b|=0