Find parametric equations for the normal line to the surface at the indicated point. (Recall that to find the equation of a line in space, you need a point on the line, Po(xo, Yo, Zo), and a vector n = (a, b, c) that is parallel to the line. Then the equation of the line is x - x = at, y-yobt, z-Zo = ct.) z=e8x2 + 4y2, P(0, 0, 1) z=1-t X

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.6: Equations Of Lines And Planes
Problem 2E
icon
Related questions
Question

all of the work I'm seeing for this type of problem has multiple parts for the answer, like x=0, y=0, & z=-t, but I only have one slot for an answer, so I'm not really sure how to answer this.

Find parametric equations for the normal line to the surface at the indicated point. (Recall that to find the equation of a line in space, you need a point on the line, Po(xo, Yo, Zo), and a vector n = (a, b, c) that is parallel to the line. Then
the equation of the line is x - x = at, y - y₁ = bt, z = Z₁ = ct.)
: №8x² + 4y², P(0, 0, 1)
Z =
z=1-t
X
Transcribed Image Text:Find parametric equations for the normal line to the surface at the indicated point. (Recall that to find the equation of a line in space, you need a point on the line, Po(xo, Yo, Zo), and a vector n = (a, b, c) that is parallel to the line. Then the equation of the line is x - x = at, y - y₁ = bt, z = Z₁ = ct.) : №8x² + 4y², P(0, 0, 1) Z = z=1-t X
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage