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Write the value of lamda so that the vec...

Write the value of `lamda` so that the vectors `vec(a)= 2hat(i) + lamda hat(j) + hat(k) and vec(b)= hat(i) - 2hat(j) + 3hat(k)` are perpendicular to each other?

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The correct Answer is:
`2(|vec(a)|^(2) + |vec(b)|^(2))`
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