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
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
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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.
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