If A→=5i^+7j^−3k^ and B→=2i^+2j^−ak^ are two perpendicular vectors what will be the value of a= _______

Given A→=5i^+7j^−3k^, B→=2i^+2j^−ak^Given A→.B→=0 10+14+3k=0 3k=−24 k=−8

If A→=5i^+7j^−3k^ and B→=2i^+2j^−ak^ are two perpendicular vectors what will be the value of a= _______

Given A→=5i^+7j^−3k^, B→=2i^+2j^−ak^Given A→.B→=0 10+14+3k=0 3k=−24 k=−8

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If $\vec{A} = 5 \hat{i} + 7 \hat{j} - 3 \hat{k}$ and $\vec{B} = 2 \hat{i} + 2 \hat{j} - a \hat{k}$ are two perpendicular vectors what will be the value of $a =$ _______

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Detailed Solution

Given $\vec{A} = 5 \hat{i} + 7 \hat{j} - 3 \hat{k},$
$\vec{B} = 2 \hat{i} + 2 \hat{j} - a \hat{k}$
Given $\vec{A} . \vec{B} = 0$
$10 + 14 + 3 k = 0 3 k = - 24 k = - 8$

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