Find a parametric equation for the line which passes through the point (5, 1, -1)and is parallel to the line $( 2 + 2 t ) \vec { i } + ( 3 - t ) \vec { j } - ( 3 + 2 t ) \vec { k }$ .

Name: Find a parametric equation for the line which passes through the point (5, 1, -1)and is parallel to the line $( 2 + 2 t ) \vec { i } + ( 3 - t ) \vec { j } - ( 3 + 2 t ) \vec { k }$ .
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The Answer is

( 5 + 2 t ) \vec { i } + ( 1 - t ) \vec { j } + ( - 1 + 2 t ) \vec { k }

Find a Parametric Equation for the Line Which Passes Through (2+2t)i⃗+(3−t)j⃗−(3+2t)k⃗( 2 + 2 t ) \vec { i } + ( 3 - t ) \vec { j } - ( 3 + 2 t ) \vec { k }(2+2t)i+(3−t)j​−(3+2t)k

Find a Parametric Equation for the Line Which Passes Through $( 2 + 2 t ) \vec { i } + ( 3 - t ) \vec { j } - ( 3 + 2 t ) \vec { k }$