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If vec(alpha) = lamda hat(i) + hat(j) + ...

If `vec(alpha) = lamda hat(i) + hat(j) + 3hat(k), vec(beta) = -hat(i) + 2hat(j) + hat(k), vec(gamma) = 3hat(i) + hat(j) + 2hat(k) and [vec(alpha) vec(beta) vec(gamma)] = - 10`, find the value of `lamda`

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The correct Answer is:
`lamda = 2`
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