Consider the line and the plane with the following equations: [x, y, z]= (e, 1, 2) + t(1,ƒ, 3) and 2x + 1y+ 3z − 7 = 0 a) Determine e and f so that the line lies completely on the plane. :. e must and f must b) Determine e and f so that the line intersects the plane exactly once. :. e must and f must

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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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25. Consider the line and the plane with the following equations:
[x, y, z] (e, 1, 2) + t(1, ƒ, 3) and 2x + 1y + 3z −7=0
=
a) Determine e and f so that the line lies completely on the plane.
:. e must
and f must
b) Determine e and f so that the line intersects the plane exactly once.
:: e must
and f must.
Transcribed Image Text:25. Consider the line and the plane with the following equations: [x, y, z] (e, 1, 2) + t(1, ƒ, 3) and 2x + 1y + 3z −7=0 = a) Determine e and f so that the line lies completely on the plane. :. e must and f must b) Determine e and f so that the line intersects the plane exactly once. :: e must and f must.
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