Mathematics
10.10.2021 12:30
169
340
8
Solved by an expert

In parts (a) through (e) below, mark the given statement as True or False. Justify

In parts (a) through (e) below, mark the given statement as True or False. Justify each answer. All vectors are in set of real numbers R Superscript nℝn. a. vtimes•vequals=Bold left norm v right normvsquared2 Choose the correct answer below. A. The given statement is false. It is not possible for it to be true because vtimes•v simplifies to a vector, whereas Bold left norm v right normvsquared2 simplifies to a scalar. B. The given statement is true. By the definition of the length of a vector v, Bold left norm v right normvequals=StartRoot Bold v times Bold v EndRootv•v. C. The given statement is false. By the definition of the length of a vector v, Bold left norm v right normvequals=vtimes•v. It follows that Bold left norm v right normvsquared2equals=(vtimes•v)squared2. D. The given statement is true. By the definition of the length of a vector v, Bold left norm v right normvequals=vtimes•v. It follows that Bold left norm v right normvsquared2equals=(vtimes•v)squared2.
Show Answers
kennyg02
kennyg02
4,8(20 marks)

(c)

"The given statement is true, by definition of length of a vector v, ||v|| = \sqrt{v\bullet v}"

Step-by-step explanation:

(a) v  \bullet v = || v ||^2

That is completely correct Remember that if  v = (x_1,x_2,x_3)\\ then

v \bullet v = x_1*x_1+x_2*x_2+x_3*x_3 = x_1^2+x_2^2+x_3^2 = ||v||^2

Therefore the correct answer would be (c).

"The given statement is true, by definition of length of a vector v, ||v|| = \sqrt{v\bullet v}"

postorivofarms
postorivofarms
4,5(12 marks)

32

Step-by-step explanation:

i looked it up

Popular Questions about the subject: Mathematics

How to multiply 5/8 × 24...
Mathematics
18.11.2020 09:03
What is the estimate of 256+321...
Mathematics
04.03.2021 15:49
Describe 59 in two other ways...
Mathematics
16.08.2021 19:51
What is 5/7 times 8/9...
Mathematics
28.10.2022 06:49
210064050 in word form...
Mathematics
28.08.2022 08:01
82,321 to the nearest hundred ?...
Mathematics
13.04.2021 19:27
What is 1/4 of 76 in a mathequ on...
Mathematics
08.07.2022 05:11
What is A+B=10 solve for B?!...
Mathematics
13.01.2022 00:32
500/400 in simplest form...
Mathematics
23.04.2020 05:02
Without plotting these numbers, decide which inequalities are true. Check all that...
Mathematics
28.02.2021 18:06

New questions by subject

Free points bc I’m bored they should work :)...
Mathematics
16.10.2022 16:25
Just need help with these two questions...
Chemistry
19.09.2021 00:54
What does the sympathetic nervous system control? the mind-body connection the...
Health
29.06.2022 15:17
How could you use making a ten when adding?...
Mathematics
19.07.2021 19:47
Its not math but please help...
Mathematics
11.11.2021 14:35
What evidence did the popes use to support their claim to be the head of the Church?...
History
21.02.2020 06:12
#
#
#
#
# #

We expand our knowledge with many expert answers