If a vector 2i^+3j^+8k^ is perpendicular to the vector 4j^−4i^+αk^. Then the value of α is

Given vectors can be rewritten as A→=2i^+3j^+8k^  and B→=−4i^+4j^+αk^Dot product of these vectors should be equal to zero because they are perpendicular.∴A→⋅B→=−8+12+8α=0​⇒8α=−4⇒α=−1/2