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) scos mt sin mtt² + t
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) scos mt sin mtt² + t
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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