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The condition that they are perpendicular to each other if $\vec{A} = a_{1} \hat{i} + b_{1} \hat{j} and \vec{B} = a_{2} \hat{i} + b_{2} \hat{j}$ is

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a1b1=-b2a2

a1b1=a2b2

a1a2=-b1b2

None of these

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detailed solution

Correct option is A

The dot product of the vectors should be zeroA→.B→=a1a2+b1b2=0

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The condition that they are perpendicular to each other if A→=a1i^+b1j^ and B→=a2i^+b2j^ is

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The condition that they are perpendicular to each other if $\vec{A} = a_{1} \hat{i} + b_{1} \hat{j} and \vec{B} = a_{2} \hat{i} + b_{2} \hat{j}$ is