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Show that the vectors vec(a)=(hat(i)+3ha...

Show that the vectors `vec(a)=(hat(i)+3hat(j)+hat(k)), vec(b)=(2hat(i)-hat(j)-hat(k)) and vec(c)=(7hat(j)+3hat(k))` are parallel to the same plane. {HINT : Show that `[vec(a)vec(b)vec(c)]=0`}

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