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The Lines (2t+1)i+(13t)j+(2+2t)k( 2 t + 1 ) \vec { i } + ( 1 - 3 t ) \vec { j } + ( 2 + 2 t ) \vec { k }

Question 27

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The lines (2t+1)i+(13t)j+(2+2t)k( 2 t + 1 ) \vec { i } + ( 1 - 3 t ) \vec { j } + ( 2 + 2 t ) \vec { k } and (2t3)i+(72t)j+(2+at)k( 2 t - 3 ) \vec { i } + ( 7 - 2 t ) \vec { j } + ( - 2 + a t ) \vec { k } are perpendicular.Find a.

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