Consider the following vectors 3 ------ What are the norms of the three vectors? Number (4 d.p.) (4 d.p.) (4 d.p.) |ly|| ||3z|| ||-2z|| = Number Number Number Number () xTy = Number xTz = Number yTz = Number (4 d.p.) (4 d.p.) What are the following vector inner products? Which of the following is true? O Only x and z are orthogonal as their inner product is 0. Only x and z are orthogonal as their inner product is -1. Only x and y are orthogonal as their inner product is -1. O Only y and x are orthogonal as their inner product is 0. Only y and z are orthogonal as their inner product is -1. None of the vector pairs are orthogonal
Consider the following vectors 3 ------ What are the norms of the three vectors? Number (4 d.p.) (4 d.p.) (4 d.p.) |ly|| ||3z|| ||-2z|| = Number Number Number Number () xTy = Number xTz = Number yTz = Number (4 d.p.) (4 d.p.) What are the following vector inner products? Which of the following is true? O Only x and z are orthogonal as their inner product is 0. Only x and z are orthogonal as their inner product is -1. Only x and y are orthogonal as their inner product is -1. O Only y and x are orthogonal as their inner product is 0. Only y and z are orthogonal as their inner product is -1. None of the vector pairs are orthogonal
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Consider the following vectors
3
=
-----
X=
What are the norms of the three vectors?
||x||
||yl|
Number
Number
xTy=
Number
||3z||
||-2z||= Number
Number
2
Number
= Number
yz = Number
yTz=
(4 d.p.)
(4 d.p.)
(4 d.p.)
(4 d.p.)
What are the following vector inner products?
(4 d.p.)
Which of the following is true?
O Only x and z are orthogonal as their inner product is 0.
Only x and z are orthogonal as their inner product is -1.
O Only x and y are orthogonal as their inner product is -1.
O Only y and x are orthogonal as their inner product is 0.
Only y and z are orthogonal as their inner product is -1.
O None of the vector pairs are orthogonal
O Only y and z are orthogonal as their inner product is 0.
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