6 Th p itim ctosg th \(\dot { \mathrm { p } }\) ns \(A , B , C , D\) are $$2 \mathbf { i } + 4 \mathbf { j } - 3 \mathbf { k } , \quad - 2 \mathbf { i } + 5 \mathbf { j } - 4 \mathbf { k } , \quad \mathbf { i } + 4 \mathbf { j } + \mathbf { k } , \quad \mathbf { i } + 5 \mathbf { j } + m \mathbf { k }$$ resp ctively, wh re \(m\) is an in eg r. It is g n th the sh test d stan e b tween th lie th g \(\quad A\) ad \(B\) ad lie th g \(\quad C\) ad \(D\) is 3

1. Shat that to b sib ey le \(6 m\) is 2
2. Fid b sh test il stan e \(6 D\) frm th lie thrg \(\mathrm { h } A\) ad \(C\).
3. Swat the actu eas eb tweert b p an \(\mathrm { s } A C D\) ad \(B C D\) is co \({ } ^ { - 1 } \left( \frac { 1 } { \sqrt { 3 } } \right)\).