Find the (x, y, z) coordinates of the points P where the line I(t) = (x (t),y(t),z(t)) = (2 + 3t, 1 – t, 1 + 21) intersects the sphere x? + y? + z? = 6. If there is more than one such point P, give your answers as a comma-seperated list. If there is no such point, enter DNE. (x, y, z) =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find the (x, y, z) coordinates of the points P where the line l(1) = (x(t), y (t), z (1) ) = (2 + 3t, 1 – 1,1 + 21) intersects the
sphere x? + y + z² = 6. If there is more than one such point P, give your answers as a comma-seperated list. If there is no such
point, enter DNE.
(x, y, z) =
Transcribed Image Text:Find the (x, y, z) coordinates of the points P where the line l(1) = (x(t), y (t), z (1) ) = (2 + 3t, 1 – 1,1 + 21) intersects the sphere x? + y + z² = 6. If there is more than one such point P, give your answers as a comma-seperated list. If there is no such point, enter DNE. (x, y, z) =
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