Let A→ = i^Acosθ+j^Asinθ be any vector. Another vector B→ which is normal to A→ is
i^Bcosθ+ j^Bsinθ
i^Bsinθ+ j^Bcosθ
i^Bsinθ− j^Bcosθ
i^Bcosθ− j^Bsinθ
Dot product of two perpendicular vector will be zero.