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
Section: Chapter Questions
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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.
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