The points A and B have position vectors given by OÁ = 2i – j+ 3k and OB = i+j+ 5k. The line 1 has equation r = i+j+ 2k + µ(3i + j – k). (i) Show that I does not intersect the line passing through A and B. (ii) Find the equation of the plane containing the line l and the point A. Give your answer in the form ax + by + cz = d.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 24E
icon
Related questions
Topic Video
Question
100%

Please help me with my homework thank youu

The points A and B have position vectors given by OÁ = 2i – j+ 3k and OB = i+j+ 5k. The line I
has equation r = i+j+2k+µ(3i+j – k).
%3D
(i) Show that I does not intersect the line passing through A and B.
(ii) Find the equation of the plane containing the line l and the point A. Give your answer in the
form ax + by + cz = d.
Transcribed Image Text:The points A and B have position vectors given by OÁ = 2i – j+ 3k and OB = i+j+ 5k. The line I has equation r = i+j+2k+µ(3i+j – k). %3D (i) Show that I does not intersect the line passing through A and B. (ii) Find the equation of the plane containing the line l and the point A. Give your answer in the form ax + by + cz = d.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Algebraic Operations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
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
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,