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If $\vec{A} and \vec{B}$ are perpendicular vectors and vector $\vec{A} = 5 \hat{i} + 7 \hat{j} - 3 \hat{k} and \vec{B} = 2 \hat{i} + 2 \hat{j} - a \hat{k}$ . The value of a is

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Correct option is D

For perpendicular vector A→.B→ = 0⇒5i^+7j^−3k^.2i^+2j^−ak^ = 0⇒10 + 14 + 3a = 0 ⇒ a = -8

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If A→ and B→ are perpendicular vectors and vector A→ = 5i^+7j^−3k^ and B→ = 2i^+2j^−ak^. 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 and vector $\vec{A} = 5 \hat{i} + 7 \hat{j} - 3 \hat{k} and \vec{B} = 2 \hat{i} + 2 \hat{j} - a \hat{k}$ . The value of a is