Find the plane through (1,2,3) and parallel to the plane determined by the points (2,1,−1);(1,1,1) and (3,3,0).

Aleseelomnl

Aleseelomnl

Answered question

2022-08-10

Find the plane through ( 1 , 2 , 3 ) and parallel to the plane determined by the points ( 2 , 1 , 1 ) ; ( 1 , 1 , 1 ) and ( 3 , 3 , 0 )

Answer & Explanation

Jewel Brooks

Jewel Brooks

Beginner2022-08-11Added 15 answers

Vectors ( 1 , 0 , 2 ) , ( 0 , 0 , 1 ) are parallel to the plane containing the three points. The cross product of these vectors is ( 0 , 1 , 0 ) is orthogonal to the plane you want. So the equation is 0 ( x 1 ) + 1 ( y 2 ) + 0 ( z 3 ) = 0

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