Asked by Po
Given below are equations for 2 planes in R3.
3x1 − 2x2 = 10
x1 + 2x2 + 4x3 = −2
Explain why these two planes must intersect in a line.
3x1 − 2x2 = 10
x1 + 2x2 + 4x3 = −2
Explain why these two planes must intersect in a line.
Answers
Answered by
Reiny
Their normals are <3,-2,0> and <1,2,4>
The only way that the two planes could not intersect is if they are parallel or plane equation is a multiple of the other.
Since their normals are not parallel, neither are the planes
The only way that the two planes could not intersect is if they are parallel or plane equation is a multiple of the other.
Since their normals are not parallel, neither are the planes
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