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Algebra and Trigonometry (MindTap Course List)

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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Need help with question 5, thank you

4. Find an equation for the plane through (1, 3, 4), with normal vector <1, 3, -2>.
5. Find parametric equations for the line through the points (1, 3, 0) and (2, 4, 4).
6. Find an equation for the plane though the point (1,-1, 4) and parallel to the plane
2x + y + z = 1.
7. Find the tangent vector r' (t) and unit tangent vector T(t) at the point with t = 1 for
r(t) = <cos nt, sin nt, t² + t>.

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