Orthogonal vector - Study guides, Class notes & Summaries
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MAT1503 Assignment 5 (COMPLETE ANSWERS) 2024 - DUE 10 September 2024
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MAT1503 Assignment 5 (COMPLETE ANSWERS) 2024 - DUE 10 September 2024 ; 100% TRUSTED Complete, trusted solutions and explanations. For assistance, Whats-App 0.6.7-1.7.1-1.7.3.9. Ensure your success with us .... Question 1: 12 Marks 
(1.1) Let U and V be the planes given by: (2) 
U : λx + 5y − 2λz − 3 = 0, 
V : −λx + y + 2z + 1 = 0. 
Determine for which value(s) of λ the planes U and V are: 
(a) orthogonal, (2) 
(b) Parallel. (2) 
(1.2) Find an equation for the plane that passes through ...
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MAT1503 Assignment 5 (DETAILED ANSWERS) 2024 - DISTINCTION GUARANTEED
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MAT1503 Assignment 5 (DETAILED ANSWERS) 2024 - DISTINCTION GUARANTEED - DISTINCTION GUARANTEED - DISTINCTION GUARANTEED Answers, guidelines, workings and references .... Question 1: 12 Marks 
(1.1) Let U and V be the planes given by: (2) 
U : λx + 5y − 2λz − 3 = 0, 
V : −λx + y + 2z + 1 = 0. 
Determine for which value(s) of λ the planes U and V are: 
(a) orthogonal, (2) 
(b) Parallel. (2) 
(1.2) Find an equation for the plane that passes through the origin (0, 0, 0) and is parallel to ...
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MAT1503 Assignment 5 (QUALITY ANSWERS) 2024
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This document contains workings, explanations and solutions to the MAT1503 Assignment 5 (QUALITY ANSWERS) 2024. For assistance whats-app us on 0.6.8..8.1.2..0.9.3.4... Question 1: 12 Marks 
(1.1) Let U and V be the planes given by: (2) 
U : λx + 5y − 2λz − 3 = 0, 
V : −λx + y + 2z + 1 = 0. 
Determine for which value(s) of λ the planes U and V are: 
(a) orthogonal, (2) 
(b) Parallel. (2) 
(1.2) Find an equation for the plane that passes through the origin (0, 0, 0) and is parallel to th...
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MAT1503 Assignment 5 (ANSWERS) 2024 - DISTINCTION GUARANTEED
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Well-structured MAT1503 Assignment 5 (ANSWERS) 2024 - DISTINCTION GUARANTEED. (DETAILED ANSWERS - DISTINCTION GUARANTEED!).... Question 1: 12 Marks 
(1.1) Let U and V be the planes given by: (2) 
U : λx + 5y − 2λz − 3 = 0, 
V : −λx + y + 2z + 1 = 0. 
Determine for which value(s) of λ the planes U and V are: 
(a) orthogonal, (2) 
(b) Parallel. (2) 
(1.2) Find an equation for the plane that passes through the origin (0, 0, 0) and is parallel to the (3) 
plane −x + 3y − 2z = 6. 
(1.3...
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Solutions Manual for Linear Algebra A Modern Introduction 4th Edition by David Poole 2024 . All Chapters A+
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Solutions Manual for Linear Algebra A Modern Introduction 4th Edition by David Poole 2024 . All Chapters A+ 
Contents 
1 Vectors 3 
1.1 The Geometry and Algebra of Vectors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 
1.2 Length and Angle: The Dot Product . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 
Exploration: Vectors and Geometry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 
1.3 Lines and Planes . . . . . . . . . . . . . . ...
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MAT2611 Assignment 7 2023
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MAT2611 Assignment 7 2023 100% TRUSTED workings, explanations and solutions. For assistance call or whatsapp us on +25477 954 0132 . 
Problem 23. Show that the following identity holds for vectors in any inner 
product space. 
ku + vk 2 
+ ku vk 2 
= 2 kuk 2 
+ 2 kvk 2 
: 
[25 marks] 
Problem 24. Use inner product 
< p; q > = 
Z 1 
0 
p (x) q (x) dx 
on P3, to compute < p; q > for p = 1 x2 
, q = 2 + x 
3 
. 
[25 marks] 
Problem 25. Find all values of k for which the vector u and v a...
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ADVANCED ENGINEERING MATHEMATICS SI EDITION 8TH EDITION BY PETER O NEIL, SOLUTIONS MANUAL
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Contents 1 First-Order Differential Equations 1 1.1 Terminology and Separable Equations 1 1.2 The Linear First-Order Equation 12 1.3 Exact Equations 19 1.4 Homogeneous, Bernoulli and Riccati Equa tions 28 2 Second-Order Differential Equations 37 2.1 The Linear Second-Order Equation 37 2.2 The Constant Coefficient Homogeneous Equation 41 2.3 Particular Solutions of the Nonhomogeneous Equation 46 2.4 The Euler Differential Equation 53 2.5 Series Solutions 58 3 The Laplace Transform 69 3.1 Definiti...
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ARMRIT Exam Questions With Verified Answers
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Different tissues that have signals that appear similar on an MR image are described as: 
A) hypointense 
B) hyperintense 
C) isointense 
D) isodense - Answer isointense 
 
in a large main magnetic field such as those employed in MRI, the motion of a hydrogen proton has been described as wobbling like a spinning top. this motion is called 
A) precession 
B) resonance 
C) frequency 
D) angular momentum - Answer precession 
 
magnetic resonance imaging is derived from the process known as: 
A) ma...
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Precalculus Quiz 2024 Questions with Correct Answers
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Precalculus Quiz 2024 Questions with Correct Answers 
 
What is the minimum force required to prevent a ball weighing 22.6 lb from rolling down a ramp which is inclined at 39.0 degrees with the horizontal? 
a. 
7.1 lb 
c. 
17.6 lb 
b. 
8.8 lb 
d. 
14.2 lb - Answer-X B 
 
Find a*b if a=10i+4j and b=3i+4j - Answer-C. 46 
 
Find a*b if a=3i+8j and b=-0.5i-4j - Answer-B. -33.5 
 
Determine whether the vectors u and v are orthogonal, parallel, or neither - Answer-A. neither 
 
The angle between a 180...
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KPE160 Midterm Exam Questions and Answers 100% Pass
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KPE160 Midterm Exam Questions and 
Answers 100% Pass 
Anatomical Position - Answer- spine in neutral position, eyes straight forwards, arms 
and forearms at side with elbows extended and hands supinated, feet together with 
knees and hip straight, penis erect 
Sagittal Spinal Curves - Answer- Lordosis and kyphosis 
Frontal Spinal Curve - Answer- scoliosis 
Transverse Spinal Curve - Answer- rotoscoliosis 
Base of Support - Answer- the area circumscribed by the outermost parts of your 
contact pat...
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