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If vec(a) = 2hat(i) + 2hat(j) + 3hat(k),...

If `vec(a) = 2hat(i) + 2hat(j) + 3hat(k), vec(b) = -hat(i) + 2hat(j) + hat(k)` and `vec(c )=3hat(i)+2hat(j)` such that `vec(a)+lambda vec(b)` is perpendicular to `vec(c)`, then find the value of `lambda`.

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Knowledge Check

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