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The position vectors of the point A,B,C ...

The position vectors of the point A,B,C and D are `4hat(i)+3hat(j)-hat(k),5hat(i)+2hat(j)+2hat(k),2hat(i)-2hat(j)-3hat(k)` and `4hat(i)-4hat(j)+3hat(k)`, respectively. Show that `vec(AB)` and `vec(CD)` are parallel.

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