Consider the following planes.5x – 3y + z = 2,3x + y – 5z = 4Find parametric equations for the line of intersection of the planes. (Use the parameter t.)(x(t), y(t), z(t)) =I%3D

Answered: Image /qna-images/answer/ac85486a-714d-4961-8360-e1fb145ea886.jpg

Answered: Čonsider the following planes. 5х — Зу…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.4: Plane Curves And Parametric Equations

Problem 37E

See similar textbooks

Similar questions

Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
Sketch and describe the orientation of the curve given by the parametric equations x=2tandy=4t2+2,2t2.
Find a parametric curve r(t) that represents the curve of intersections of the semi ellipsoid x^2+y^2+4z^2=4 and the cylinder x^2+z^2=1
Consider a sphere E with center at the origin and radius equal to 1, following the Beltrami-Klein model, solve: to. For each point (x,y,0), calculate the parametric equation lxy(t) of the line that passes through the (0,01) and (x,y,0).
Find the angle between the two planes 3x + 2y − z = 7, x − 4y + 2z = 0 and find a set of parametric equations for the line of intersection of the planes
Consider the ellipsoid 3x2+2y2+z2=12. The implicit form of the tangent plane to this ellipsoid at (1,2,-1) is ? The parametric form of the line through this point that is perpendicular to that tangent plane is L(t)=?
Determine the total distance covered from t = 1 to t = 3 from the given parametric equations: x = t^3, y=2t-1, z = 4t^2
Try to sketch by hand the curve of intersection of the parabolic cylinder y = x2 and the top half of the ellipsoid x2 + 2y2 + 2z2 = 4. Then find parametric equations for this curve. (x(t), y(t), z(t)) = for −1.1 ≤ t ≤ 1.1
Find an equation of the tangent plane to the following parametric surface,r(u, v) = (u2 + 6) i + (v3 + 8u) j + (u + 3v) k ,at the point (7, 7, −2).Write the equation in the form ax + by + cz + d = 0, where a, b, c, and d have no common factors. Then enter the values of a, b, c, and d (in that order) into the answer box below, separated with commas.
By sketching the surface that has equation x2 + y2 - z2 = 0, show that the parametric curve r(t) = (3t cos(3t), 3t sin(3t), 3t) lies on that surface.
Show that the projection into the xy-plane of the curve of intersection of the parabolic cylinder z=1−3y^2 and the paraboloid z=x^2+y^2 is an ellipse. (a) Find a vector-parametric equation for the ellipse in the xyxy-plane. Shadow: r1(t)=? (b) Find a vector-parametric equation for the curve of intersection of the parabolic cylinder and the paraboloid. Intersection: r2(t)=?
Given the planes π1 : x − 2y + 3z + 1 = 0 and π2 : 2x + y + z + 2 = 0.Let L be the line of intersection of π1 and π2. Find parametric equations for the line passingthrough A(−4, 3, 2) which is parallel to L.

SEE MORE QUESTIONS

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781337278461

Author:

Ron Larson

Publisher:

Cengage Learning

Elementary Geometry For College Students, 7e

Geometry

ISBN:

9781337614085

Author:

Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:

Cengage,

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781337278461

Author:

Ron Larson

Publisher:

Cengage Learning

Elementary Geometry For College Students, 7e

Geometry

ISBN:

9781337614085

Author:

Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:

Cengage,

SEE MORE TEXTBOOKS

Čonsider the following planes. 5х — Зу + z %3 2, Зх + у - 5z %3D 4 Find parametric equations for the line of intersection of the planes. (Use the parameter t.) (x(t), y(t), z(t)) = I %3D