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Talking about two perpendicular vectors,
The dot productof both is zero. Always.
a•b= ab cosα
So, the vector is 4i-3j
By the above relation we get,
(4i-3j).
(4i-3j).(ai+bj)=0
4a-3b=0
4a=3b
a/b=3/4
Therefore the vector perpendicular to given vector is 3i+4j.
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