The lines $( 2 t + 1 ) \vec { i } + ( 1 - 3 t ) \vec { j } + ( 2 + 2 t ) \vec { k }$ and $( 2 t - 3 ) \vec { i } + ( 7 - 2 t ) \vec { j } + ( - 2 + a t ) \vec { k }$ are perpendicular.Find a.

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The Answer of The lines $( 2 t + 1 ) \vec { i } + ( 1 - 3 t ) \vec { j } + ( 2 + 2 t ) \vec { k }$ and $( 2 t - 3 ) \vec { i } + ( 7 - 2 t ) \vec { j } + ( - 2 + a t ) \vec { k }$ are perpendicular.Find a.

The Lines (2t+1)i⃗+(1−3t)j⃗+(2+2t)k⃗( 2 t + 1 ) \vec { i } + ( 1 - 3 t ) \vec { j } + ( 2 + 2 t ) \vec { k }(2t+1)i+(1−3t)j​+(2+2t)k

The Lines $( 2 t + 1 ) \vec { i } + ( 1 - 3 t ) \vec { j } + ( 2 + 2 t ) \vec { k }$