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48.Which of the following vectors is/are perpendicular tothe vector 4i-3171) 4i+3j2) 6i4) 3i-4j

Answer»

For two vectors to be perpendicular, their dot product must be equal to 0 .

Let the vector perpendicular to given vector is

ai+bj to satisy the above condition-

(4i−3j).(ai+bj)=0(4i−3j).(ai+bj)=0

(4a−3b)=0(4a−3b)=0

hence4a=3b4a=3b

i.e,a/b=3/4

therefore we get 3i-4j



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