Q. 123.7( 3 Votes )

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

Answer :


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

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