Question 1

Find the length of the vector  
A) 
B) 
C) 
D) 
E)

Accepted Answer

B

Question 2

Find  given  and  .
A)  
B)  
C)  
D)  
E)

Accepted Answer

C

Question 3

Find the vector v with length 2 and the same direction as the vector   .
A) 
B) 
C) 
D) 
E)

Accepted Answer

B

Question 4

Find the vector v with length 2 and the same direction as the vector  .
A)  
B)  
C)  
D)  
E)

Accepted Answer

The answer of Find the vector v with length 2...

Question 5

Find the distance d between u=  and v=  .
A)  
B)  
C) 
D) 
E)

Accepted Answer

The answer of Find the distance d between u= ...

Question 6

Find  , where u=  and v=  .
A)  
B) 
C)  
D) 
E)

Accepted Answer

The answer of Find  , where u=  and...

Question 7

Find  ,where   .
A)  
B)  
C)  
D)  
E)

Accepted Answer

The answer of Find  ,where   .
A) ...

Question 8

Find the angle  in radians between the vectors  . Round your answers to three decimal places.
A)  
B)  
C)  
D) 
E)

Accepted Answer

The answer of Find the angle  in radians between...

Question 9

Find the angle  in radians between the vectors  . Round your answers to three decimal places.
A)  
B)  
C) 
D)  
E)

Accepted Answer

The answer of Find the angle  in radians between...

Question 10

Determine all vectors v that are orthogonal to  .
A)  , where t is any real number
B)  , where t is any real number
C)   , where t is any real number
D)  , where t is any real number
E)   , where t is any real number

Accepted Answer

The answer of Determine all vectors v that are orthogonal...

Question 11

Determine all vectors v that are orthogonal to   .
A)  where t is any real numbers
B)   where s and t are any real numbers
C)  where s and t are any real numbers
D)   where t is any real numbers
E)  where s and t are any real numbers

Accepted Answer

The answer of Determine all vectors v that are orthogonal...

Question 12

Find for the inner product defined in R², where . A) 8 B) 48 C) 6 D) 58 E) 43

Accepted Answer

The answer of Find  for the inner product ...

Question 13

Find for the inner product defined in R², where . A) B) C) D) E)

Accepted Answer

The answer of Find  for the inner product ...

Question 14

Find for the standard inner product defined in R³, where . A) B) C) D) E)

Accepted Answer

The answer of Find  for the standard inner product...

Question 15

Find for the standard inner product defined in R³, where . A) B) C) D) E)

Accepted Answer

The answer of Find  for the standard inner product...

Question 16

Find for the inner product defined in R³, where . A) B) C) D) E)

Accepted Answer

The answer of Find  for the inner product ...

Question 17

Use the functions  in C[-1, 1] to find  for the inner product  . 
A)   
B)   
C)   
D)   
E)

Accepted Answer

The answer of Use the functions  in C[-1, 1]...

Question 18

Use the functions  in C[-1, 1] to find  for the inner product  . 
A)  
B)  
C)  
D) 
E)

Accepted Answer

The answer of Use the functions  in C[-1, 1]...

Question 19

Use the functions  in C[-1, 1] to find  for the inner product  . 
A)  
B) 
C) 
D)  
E)

Accepted Answer

The answer of Use the functions  in C[-1, 1]...

Question 20

Use the inner product  to find  , where  and  . 
A)  
B)  
C)  
D) 
E)

Accepted Answer

The answer of Use the inner product  to find...

Quiz 5: Inner Product Spaces

Find the length of the vector

Find given and .

Find the vector v with length 2 and the same direction as the vector .

Find the vector v with length 2 and the same direction as the vector .

Find the distance d between u= and v= .

Find , where u= and v= .

Find ,where .

Find the angle in radians between the vectors . Round your answers to three decimal places.

Find the angle in radians between the vectors . Round your answers to three decimal places.

Determine all vectors v that are orthogonal to .

Determine all vectors v that are orthogonal to .

Find for the inner product defined in R2, where .

Find for the inner product defined in R2, where .

Find for the standard inner product defined in R3, where .

Find for the standard inner product defined in R3, where .

Find for the inner product defined in R3, where .

Use the functions in C[-1, 1] to find for the inner product .

Use the functions in C[-1, 1] to find for the inner product .

Use the functions in C[-1, 1] to find for the inner product .

Use the inner product to find , where and .

Find for the inner product defined in R², where .

Find for the inner product defined in R², where .

Find for the standard inner product defined in R³, where .

Find for the standard inner product defined in R³, where .

Find for the inner product defined in R³, where .