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Find the volume of a parallelopiped whos...

Find the volume of a parallelopiped whose sides are given by `vec(a) = -2hat(i) + 3hat(j) + hat(k), vec(b) = hat(i) - 2hat(j) + 2hat(k)` and `vec(c) = -hat(i) + 2hat(j) + 3hat(k)`.

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Show that the vectors vec(a) = hat(i) - 2hat(j) + 3hat(k), vec(b) = -2hat(i) + 3hat(j) - 4hat(k) and vec(c) = hat(i) - 3hat(j) + 5hat(k) are coplanar.