Answer :

i)








Now


= (4 × - 2) + (1 × 3) + ( - 1 × - 5) = - 8 + 3 + 5 = 0


Since the dot product of these two vectors is 0,the vector is perpendicular to


Hence,proved.


ii)








Now


= (6 × 4) + (2 × - 4) + ( - 8 × 2) = 24 - 8 - 16 = 0


Since the dot product of these two vectors is 0,the vector is perpendicular to


Hence,proved that and are orthogonal.


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