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

For two vectors to be perpendicular to each other A→⋅B→=0(2i^+3j^+8k^)⋅(4i−4j+αk)=0⇒8−12+8α=0 or α=48=12

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

For two vectors to be perpendicular to each other A→⋅B→=0(2i^+3j^+8k^)⋅(4i−4j+αk)=0⇒8−12+8α=0 or α=48=12

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If a vector $2 \hat{i} + 3 \hat{j} + 8 \hat{k}$ is perpendicular to the vector $4 \hat{i} - 4 \hat{j} + α \hat{k}$ then the value of $α$ is

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For two vectors to be perpendicular to each other $\vec{A} \cdot \vec{B} = 0$
$(2 \hat{i} + 3 \hat{j} + 8 \hat{k}) \cdot (4 i - 4 j + α k) = 0 \Rightarrow 8 - 12 + 8 α = 0 or α = \frac{4}{8} = \frac{1}{2}$

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

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If a vector $2 \hat{i} + 3 \hat{j} + 8 \hat{k}$ is perpendicular to the vector $4 \hat{i} - 4 \hat{j} + α \hat{k}$ then the value of $α$ is