Find a set of vectors that spans the plane P1: 2x + 3y -z = 0

Kyran Hudson 2021-01-05 Answered
Find a set of vectors that spans the plane P1:2x+3yz=0
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Expert Answer

SoosteethicU
Answered 2021-01-06 Author has 102 answers

Note that if (x,y,z)P1 then 2x+3yz=0. Therefore we have z=2x+3y
(x,y,z)=(x,y,2x+3y)=(1,0,2)x+(0,1,3)y{(1,0,2),(0,1,3)}
It follows that the vectors (1,0,2), (0,1,3) spans the plane P1.

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