Find parametric equations for the line through the point (0, 1, 2) that is parallel to the plane x + y + z = 1 and perpendicular to the line x = 1 + t, y = 1-t, z = 2t. (Use the parameter t.) (x(t), y(t), z(t)) = 3t,1 - 1,9 - 9t

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Find parametric equations for the line through the point (0, 1, 2) that is parallel to the plane x + y + z = 1 and
perpendicular to the line x = 1 + t, y = 1-t, z = 2t. (Use the parameter t.)
3t,1 - 1,9 - 9t
)
(x(t), y(t), z(t))
=
Transcribed Image Text:Find parametric equations for the line through the point (0, 1, 2) that is parallel to the plane x + y + z = 1 and perpendicular to the line x = 1 + t, y = 1-t, z = 2t. (Use the parameter t.) 3t,1 - 1,9 - 9t ) (x(t), y(t), z(t)) =
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