15-20 . Equations of Planes A plane has normal vector n andpasses through the point P. (a) Find an equation for the plane.(b) Find the intercepts, and sketch a graph of the plane.15. n 3D (1, 1, —1), Р(0, 2, —3)16. n 3 (3, 2, 0), Р(1,2, 7)17. n = (3, 0, –). P(2, 4, 8)18. n = (. -4. -1) P(6,0, 3)19. n = 3i – j+ 2k, P(0, 2, –3)20. n = i + 4j, P(1,0, -9)

Answered: Image /qna-images/answer/0e2ff318-768e-422c-9724-100e050dd047.jpg

Answered: 15-20 . Equations of Planes A plane has…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Similar questions

Find a vector equation and parametric equations for the line segment that joins P to Q. P(−4, 2, 0), Q(7, −1, 7) vector equation r(t) = parametric equations x(t), y(t), z(t) =
Determine the general equation for the F4E4B1 plane (β plane). Determine the angle between planes F4E4B1 and F4A2B1 (plane α). F4: (-2,1,3)B1: (1,0,0)E4: (-1,2,3)A2: (-1.0, 1)
Che z-axiS; (a) the x-axis. 2. Consider the points P(3,0, 1), Q(5, -1,2), R(5, 1, -1), and S(0,4, 2). (a) Find the area of the triangle PQR. (b) Find the plane through P, Q and R, expressed in the form ax + by + cz + d = 0 (c) Does the plane meet the line segment from (0, –11,0) to (27,0,0)? Say yes or no and why. (d) Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS. nןיו וומו
Tutorial Exercise Find an equation of the plane that passes through the point (12, -10, 6) and contains the line given by the following equation. - 4 2 Step 1 Let the direction vector of the line be u = (p, q, r). To find u and a second point on the line, compare the z - z1 y - 4 - X1 У - У1 X - X equation of the line = z with the standard form of the equation -1 r (x1, Y1, Zq) = ( , 4, ,-1, 1) u =
Describe the graph of the equation. (8 – 21) i + 13rj r = O It is a plane in 2-space through the point (-2, 13) and parallel to the vector v = 8 i. O It is a line in 2-space through the point (8, 2) and parallel to the vector v = O It is a plane in 2-space through the point (8, 0) and parallel to the vector v = - 2i+ 13 j. O It is a line in 2-space through the point (8, 0) and parallel to the vector v = -2i + 13 j. 13j. O It is a line in 2-space through the point (-2, 13) and parallel to the vector v = 8i.

Recommended textbooks for you

Calculus: Early Transcendentals

Calculus

ISBN:

9781285741550

Author:

James Stewart

Publisher:

Cengage Learning

Thomas' Calculus (14th Edition)

Calculus

ISBN:

9780134438986

Author:

Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher:

PEARSON

Calculus: Early Transcendentals (3rd Edition)

Calculus

ISBN:

9780134763644

Author:

William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:

PEARSON

Calculus: Early Transcendentals

Calculus

ISBN:

9781285741550

Author:

James Stewart

Publisher:

Cengage Learning

Thomas' Calculus (14th Edition)

Calculus

ISBN:

9780134438986

Author:

Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher:

PEARSON

Calculus: Early Transcendentals (3rd Edition)

Calculus

ISBN:

9780134763644

Author:

William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:

PEARSON

Calculus: Early Transcendentals

Calculus

ISBN:

9781319050740

Author:

Jon Rogawski, Colin Adams, Robert Franzosa

Publisher:

W. H. Freeman

Precalculus

Calculus

ISBN:

9780135189405

Author:

Michael Sullivan

Publisher:

PEARSON

Calculus: Early Transcendental Functions

Calculus

ISBN:

9781337552516

Author:

Ron Larson, Bruce H. Edwards

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS