Equation of a plane

Geometry Level 2

Let L 1 {L}_{1} be the line passing through the point ( 1 , 2 , 5 ) (1, -2, -5) in the direction of d 1 = ( 2 , 3 , 2 ) , \overrightarrow { {d }_{1 } } =(2, 3, 2) , and L 2 {L}_{2} be the line passing through the point ( 3 , 4 , 1 ) (-3, 4, -1) in the direction d 2 = ( 5 , 2 , 4 ) . \overrightarrow { {d }_{2} } =(5, 2, 4). Find the equation of the plane P P that contains L 1 {L}_{1} and is parallel to L 2 {L}_{2}

7 x + 11 y 15 z = 48 7x+11y-15z=48 4 x + 4 y 5 z = 37 4x+4y-5z=37 3 x + 5 y 8 z = 33 3x+5y-8z=33 8 x + 2 y 11 z = 59 8x+2y-11z=59

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