Write the number of vectors of unit length perpendicular to both the vectors and [CBSE 2016]

To find: number of vectors of unit length perpendicular to both the given vectors

Formula used:

is the unit vector, a and b being two vectors and θ is angle between them?

Since, we need them perpendicular i.e. θ = 90°

and sin 90° = 1

which are perpendicular either in positive or negative direction

Hence, the number of unit vectors which are perpendicular to given vectors are two