Q. 3 B

# Find a unit vecto

Given two vectors and We need to find a unit vector perpendicular to and .

Recall a vector that is perpendicular to two vectors and is Here, we have (a1, a2, a3) = (2, 1, 1) and (b1, b2, b3) = (1, 2, 1)    Let the unit vector in the direction of be .

We know unit vector in the direction of a vector is given by . Recall the magnitude of the vector is Now, we find .   So, we have  Thus, the required unit vector that is perpendicular to both and is .

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