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Find [vec(a)vec(b)vec(c )], if vec(a)=ha...

Find `[vec(a)vec(b)vec(c )]`, if `vec(a)=hat(i)-2hat(j)+3hat(k),vec(b)=2hat(i)-3hat(j)+hat(k)` and `vec(c )=3hat(i)+hat(j)-2hat(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.