Titik A dan B mempunyai vektor kedudukan yang diberikan oleh OÁ = 2i – j + 3k dan %3D OB = i+j+5k. Garis I mempunyai persamaan r = i +j+2k + µ(3i +j- k). The points A and B have position vectors given by OA = 2i – j+ 3k and OB = i+ j+ 5k. The line I has equation r = i + j+2k + µ(3i + j – k). %3D (a) Tunjukkan bahawa I tidak memotong garis yang melintasi A dan B. Show that I does not intersect the line passing through A and B. (b) Cari persamaan satah yang mengandungi garis I dan titik A. Berikan jawapan anaa dalam bentuk ax + by + cz + d. Find the equation of the plane containing the line l and the point A. Give your answer in the form ax + by + cz + d.

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter7: Triangles
Section: Chapter Questions
Problem 1RP: We mentioned in Section 7.5 that our algebraic treatment of vectors could be attributed, in part, to...
icon
Related questions
Question

Question (a) and (b) 

Soalan /Question 1
Titik A dan B mempunyai vektor kedudukan yang diberikan oleh OA = 2i –j+3k dan
%3D
OB = i +j+ 5k. Garis I mempunyai persamaan r = i +j+ 2k + u(3i +j – k).
The points A and B have position vectors given by 0A = 2i – j+ 3k and OB = i+
|
j+ 5k. The line I has equation r = i +j+ 2k + u(3i + j – k).
(a) Tunjukkan bahawa I tidak memotong garis yang melintasi A dan B.
Show that I does not intersect the line passing through A and B.
(b) Cari persamaan satah yang mengandungi garis I dan titik A. Berikan jawapan anda
dalam bentuk ax + by + cz + d.
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:Soalan /Question 1 Titik A dan B mempunyai vektor kedudukan yang diberikan oleh OA = 2i –j+3k dan %3D OB = i +j+ 5k. Garis I mempunyai persamaan r = i +j+ 2k + u(3i +j – k). The points A and B have position vectors given by 0A = 2i – j+ 3k and OB = i+ | j+ 5k. The line I has equation r = i +j+ 2k + u(3i + j – k). (a) Tunjukkan bahawa I tidak memotong garis yang melintasi A dan B. Show that I does not intersect the line passing through A and B. (b) Cari persamaan satah yang mengandungi garis I dan titik A. Berikan jawapan anda dalam bentuk ax + by + cz + d. 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
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Fractions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning