vector which is perpendicular to acos (theta) i+b sin (theta) j

Dear student

 

there can be many vectors perpendicular to the given vector. So Please provide options.

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For  the vector to be perpendicular to given vector it should have dot product = 0 so find suitable option with which the given vector is having zero dot product .thanku .....

 guys It's answer will be all of these . 

1. {bsinQ icap - acosQ jcap } = as u multiply this vector with good vector( acosQ Icap + bsinQ jcap ) u will get  (((( ab cosQsinQ icap- ab cosQsinQ  jcap)))) which is equal to zero ... So as. Their dot product is zero means they are perpendicular to each other ... Similarly try 2 option and 3 is already perpendicular  as it is 5kcap .... Thanku and ask if u still don't understand