Exercisex-t+1Given the parametric equation of (d):(t E R)y = 3And a Cartesian equation of line (d'): x+3y-0.a) Show that A(2,3) belongs to (d) and O(0,0) belongs to (d').b) Determine N a normal vector of (d') and V a direction vector of (d')c) Write the parametric equation of (d').d) Determine Va a direction vector of (d) and N, a normal vector of (D)e) Write the Cartesian standard equation of (d).

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(x=t+1 Given the parametric equation of (d): (t ER) ly = 3 And a Cartesian equation of line (d'): x+3y-0. a) Show that A(2,3) belongs to (d) and O(0,0) belongs to (d'). b) Determine Na a normal vector of (d') and V a direction vector of (d') c) Write the parametric equation of (d').

(x=t+1 Given the parametric equation of (d): (t ER) ly = 3 And a Cartesian equation of line (d'): x+3y-0. a) Show that A(2,3) belongs to (d) and O(0,0) belongs to (d'). b) Determine Na a normal vector of (d') and V a direction vector of (d') c) Write the parametric equation of (d').

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter8: Polar Coordinates And Parametric Equations

Section8.CT: Chapter Test

Problem 8CT

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Question

Exercise
x-t+1
Given the parametric equation of (d):
(t E R)
y = 3
And a Cartesian equation of line (d'): x+3y-0.
a) Show that A(2,3) belongs to (d) and O(0,0) belongs to (d').
b) Determine N a normal vector of (d') and V a direction vector of (d')
c) Write the parametric equation of (d').
d) Determine Va a direction vector of (d) and N, a normal vector of (D)
e) Write the Cartesian standard equation of (d).

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