3) The distance between 3+i 3+i 2-i 2+i and 3+2i 1-i 1+2i 3+2i is: [1] [3+1] i]

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Answer no. 3 only please

Note: To use square roots, you can simply write "a^0.5".
Consider an inner product on two complex vectors as (u, v) = utv:
1)
3+i
3+i
2-i
2+i
3+i
3+i
2)
0
2-i
2+i
3+2i
1-i
1 + 2i
3 + 2i
=
3) The distance between
[3+ i]
3+i
2-i
2+i
and
4) A value of a that would allow for
3 + 2i
1-i
1 + 2i
3 + 2i
is:
3+i
a
3 + i
8-9
and
-1
2-i
a
2+i
to be orthogonal would be:
Transcribed Image Text:Note: To use square roots, you can simply write "a^0.5". Consider an inner product on two complex vectors as (u, v) = utv: 1) 3+i 3+i 2-i 2+i 3+i 3+i 2) 0 2-i 2+i 3+2i 1-i 1 + 2i 3 + 2i = 3) The distance between [3+ i] 3+i 2-i 2+i and 4) A value of a that would allow for 3 + 2i 1-i 1 + 2i 3 + 2i is: 3+i a 3 + i 8-9 and -1 2-i a 2+i to be orthogonal would be:
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