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  4. The number of vectors of unit length perpendicular to vectors a= hati+ hatj and b= hatj+ hatk, is

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Q. The number of vectors of unit length perpendicular to vectors $a=\hat{i}+\hat{j}$ and $b=\hat{j}+\hat{k}$, is

ManipalManipal 2020

Solution:

Vector which is perpendicular to vertors a and $b$, is $a \times b$ or $b \times a$.
Hence, two vectors are possible which are perpendicular to $a$ and $b$.