If $$ai^$$ $$+$$ $$bj^$$ is a unit vector and it is perpendicular to $$i^$$ $$+$$ $$j^$$, then value of a and b is

Correct option is 4None of these

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If $a \hat{i} + b \hat{j}$ is a unit vector and it is perpendicular to $\hat{i} + \hat{j}$ , then value of a and b is

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Correct option is D

ai^+bj^·(i^+j^)=0 or a+b=0 …(i)Further, a2+b2=1 or a2+b2=1 …(ii)Solving Eqs. (i) and (ii), we geta=±12 and b=±12

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If ai^ + bj^ is a unit vector and it is perpendicular to i^ + j^, then value of a and b is

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If $a \hat{i} + b \hat{j}$ is a unit vector and it is perpendicular to $\hat{i} + \hat{j}$ , then value of a and b is