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If $\vec{A}$ and $\vec{B}$ are perpendicular vectors, where $\vec{A} = 5 \hat{i} + 7 \hat{j} - 3 \hat{k}$ and $\vec{B} = 2 \hat{i} + 2 \hat{j} - a \hat{k}$ , then the value of a is

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Correct option is D

For perpendicular vectors, A→.B→=0 ; so (5i^+7j^−3k^).(2i^+2j^−ak^)=0 or 10+14+3a=0 or 3a=−24 or a=−8

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If A→ and B→ are perpendicular vectors, where A→=5i^+7j^−3k^ and B→=2i^+2j^−ak^ , then the value of a is

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Ready to Test Your Skills?

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If $\vec{A}$ and $\vec{B}$ are perpendicular vectors, where $\vec{A} = 5 \hat{i} + 7 \hat{j} - 3 \hat{k}$ and $\vec{B} = 2 \hat{i} + 2 \hat{j} - a \hat{k}$ , then the value of a is