5. Find parametric equations for the line through the points (1, 3, 0) and (2, 4, 4).

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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Need help with question 5, thank you

### Problem Set

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 through 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 πt, sin πt, t² + t>.**
Transcribed Image Text:### Problem Set 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 through 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 πt, sin πt, t² + t>.**
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