Q. 205.0( 2 Votes )

If and are two vectors such that then prove that vector is perpendicular to vector

Answer :

Given that: and are two vectors such that

To prove: is perpendicular to


Consider,



Squaring both the sides, we get




…(i)




We know that the dot product of two vectors is zero, then either of the two vectors is zero or the vectors are perpendicular to each other.


Thus, is perpendicular to


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