x=4-s+t Find a vector of length √2 which is perpendicular to the plane π =y=1+ s-t z = 1+s+t

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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Help with questions 5 6 7
x=4-s+t
5.
Find a vector of length √2 which is perpendicular to the plane π =y=1+ s-t
z = 1+s+t
6.
Find a vector perpendicular to the 2-space line: Qx - Ny + R = 0. Explain how you got
your answer.
plane.
7.
Find the point where line L: [x, y, z) = [-1,3,-1]+ t[2,-5, -2] crosses the xz -
32°C
##
199+
O
10
ENG
Transcribed Image Text:x=4-s+t 5. Find a vector of length √2 which is perpendicular to the plane π =y=1+ s-t z = 1+s+t 6. Find a vector perpendicular to the 2-space line: Qx - Ny + R = 0. Explain how you got your answer. plane. 7. Find the point where line L: [x, y, z) = [-1,3,-1]+ t[2,-5, -2] crosses the xz - 32°C ## 199+ O 10 ENG
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