Find the vector equation of the tangent line to the curve given by 7(t) = sin ti + cos (2t)j + tan tk at t = T. %3D %3D F(t) = (1,0, 0) + t(-1,0, 1) 7(t) = (0,0, 1) +t(-1,0,1) %3D %3D O A O B

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the vector equation of the tangent line to the curve
given by 7(t) = sin ti + cos (2t)j+ tan tk at t = 7.
%3D
F(t) = (1,0,0) + t(-1,0, 1)
F(t) = (0,0, 1) + t(-1,0, 1)
%3D
%3D
O A
O B
F(t) = (1, 1, 1) + t(-1,0, 1)
F(t) = (0, 1,0) + t(-1,0, 1)
%3D
%3D
O D
Transcribed Image Text:Find the vector equation of the tangent line to the curve given by 7(t) = sin ti + cos (2t)j+ tan tk at t = 7. %3D F(t) = (1,0,0) + t(-1,0, 1) F(t) = (0,0, 1) + t(-1,0, 1) %3D %3D O A O B F(t) = (1, 1, 1) + t(-1,0, 1) F(t) = (0, 1,0) + t(-1,0, 1) %3D %3D O D
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