8-13. Vector-valued functions Find a function r(t) that describes each of the following curves. 8. The line segment from P(2, -3, 0) to Q(1, 4, 9) 9. The line passing through the point P(4, -2, 3) that is orthogonal to the lines R(t) = (t, 5t, 2t) and S(t) = (t + 1, –1, 3t – 1) 10. A circle of radius 3 centered at (2, 1, 0) that lies in the plane y =1 11. An ellipse in the plane x = 2 satisfying the equation 9 =D1 16 12. The projection of the curve onto the xy-plane is the parabola y = x, and the projection of the curve onto the xz-plane is the line z = x. 13. The projection of the curve onto the xy-plane is the unit circle x + y = 1, and the projection of the curve onto the yz-plane is the |3D line segment z = y, for -1
8-13. Vector-valued functions Find a function r(t) that describes each of the following curves. 8. The line segment from P(2, -3, 0) to Q(1, 4, 9) 9. The line passing through the point P(4, -2, 3) that is orthogonal to the lines R(t) = (t, 5t, 2t) and S(t) = (t + 1, –1, 3t – 1) 10. A circle of radius 3 centered at (2, 1, 0) that lies in the plane y =1 11. An ellipse in the plane x = 2 satisfying the equation 9 =D1 16 12. The projection of the curve onto the xy-plane is the parabola y = x, and the projection of the curve onto the xz-plane is the line z = x. 13. The projection of the curve onto the xy-plane is the unit circle x + y = 1, and the projection of the curve onto the yz-plane is the |3D line segment z = y, for -1
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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#11, i know the answer r(t)=
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