(4) (8 points) (a) (2 points) Write down a normal vector n for the plane P given by the equation x+2y+z+4=0. (b) (4 points) Find two vectors v, w in the plane P that are not parallel. (c) (2 points) Using your answers to part (b), write down a parametrization r: R² — R3 of the plane P.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 39E
icon
Related questions
Question
(4) (8 points)
(a) (2 points) Write down a normal vector n for the plane P given by the equation
x+2y+z+4=0.
(b) (4 points) Find two vectors v, w in the plane P that are not parallel.
(c) (2 points) Using your answers to part (b), write down a parametrization r: R² —
R3 of the plane P.
Transcribed Image Text:(4) (8 points) (a) (2 points) Write down a normal vector n for the plane P given by the equation x+2y+z+4=0. (b) (4 points) Find two vectors v, w in the plane P that are not parallel. (c) (2 points) Using your answers to part (b), write down a parametrization r: R² — R3 of the plane P.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning