Show that the plane and line with the given equations intersect, and then find the acute angle of intersection between them. (Give the angle in degrees and round to one decimal place.) The plane given by x + y + 3z = 0 and the line given by x = 2 + t y = 1 - 3t z = 2 + t. Substituting the parametric equations for the line into the equation for the plane and solving for t gives t = What is the acute angle of intersection? 0 = , so that the plane and the line intersect at the point (x, y, z) =
Show that the plane and line with the given equations intersect, and then find the acute angle of intersection between them. (Give the angle in degrees and round to one decimal place.) The plane given by x + y + 3z = 0 and the line given by x = 2 + t y = 1 - 3t z = 2 + t. Substituting the parametric equations for the line into the equation for the plane and solving for t gives t = What is the acute angle of intersection? 0 = , so that the plane and the line intersect at the point (x, y, z) =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Show that the plane and line with the given equations intersect, and then find the acute angle of intersection between them. (Give the angle in degrees and round to one decimal place.)
The plane given by x + y + 3z = 0 and the line given by
X = 2 + t
y = 13t
z = 2 + t.
Substituting the parametric equations for the line into the equation for the plane and solving for t gives t =
What is the acute angle of intersection?
0 =
, so that the plane and the line intersect at the point (x, y, z) =
1)
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