The addition \left(\overrightarrow{A}+\overrightarrow{B}\right) ( A <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> + B <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> ) of the following vectors A → = ( 15 , 3 , 2 ) a n d B → = ( − 5 , 2 , − 9 ) \overrightarrow{A}=\left(15,\ 3,\ 2\right)\ \ \ and\ \ \ \overrightarrow{B}=\left(-5,\ 2,\ -9\right) A <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> = ( 1 5 , 3 , 2 ) a n d B <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> = ( − 5 , 2 , − 9 ) is...

R → = ( 10 , 5 , − 7 ) \overrightarrow{R}=\left(10,5,-7\right) R <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> = ( 1 0 , 5 , − 7 )

R → = ( 20 , 5 , − 7 ) \overrightarrow{R}=\left(20,5,-7\right) R <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> = ( 2 0 , 5 , − 7 )

R → = ( 20 , 1 , 11 ) \overrightarrow{R}=\left(20,1,11\right) R <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> = ( 2 0 , 1 , 1 1 )

R → = ( 10 , 1 , 11 ) \overrightarrow{R}=\left(10,1,11\right) R <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> = ( 1 0 , 1 , 1 1 )

The subtraction ( A → − B → ) \left(\overrightarrow{A}-\overrightarrow{B}\right) ( A <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> − B <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> ) of the following vectors A → = ( 15 , 3 , 2 ) a n d B → = ( − 5 , 2 , − 9 ) \overrightarrow{A}=\left(15,\ 3,\ 2\right)\ \ \ and\ \ \ \overrightarrow{B}=\left(-5,\ 2,\ -9\right) A <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> = ( 1 5 , 3 , 2 ) a n d B <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> = ( − 5 , 2 , − 9 ) is...

R → = ( 20 , 1 , 11 ) \overrightarrow{R}=\left(20,1,11\right) R <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> = ( 2 0 , 1 , 1 1 )

R → = ( 10 , 5 , − 7 ) \overrightarrow{R}=\left(10,5,-7\right) R <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> = ( 1 0 , 5 , − 7 )

R → = ( 20 , 5 , − 7 ) \overrightarrow{R}=\left(20,5,-7\right) R <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> = ( 2 0 , 5 , − 7 )

R → = ( 10 , 1 , 11 ) \overrightarrow{R}=\left(10,1,11\right) R <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> = ( 1 0 , 1 , 1 1 )

Vector operations

Authored by Oscar Diaz

Physics

12th Grade

Used 9+ times

AI Actions

Add similar questions

Adjust reading levels

Convert to real-world scenario

Translate activity

More...

Content View

Student View

8 questions

Show all answers

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The x-component of vector
$\overrightarrow{T}=27.73,\ \ \propto=43.84°,\ \ \beta=64.35°,\ \gamma=57.25°$ is...

$\approx$ 43.84

$\approx$ 12

$\approx$ 20

$\approx$ 27.73

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The z-component of vector
$\overrightarrow{M}=3i-2j+7k$ is....

-2

27.25°

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The magnitude of vector
$\overrightarrow{M}=3i-2j+7k$ is....

7.87

27.25°

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The y-component of vector
$\overrightarrow{T}=27.73,\ \ \propto=43.84°,\ \ \beta=64.35°,\ \gamma=57.25°$ is...

$\approx$ 12

$\approx$ 15

$\approx$ 20

$\approx$ 57.25

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The magnitude of vector
$\overrightarrow{K}=40i-12j+20k$ is....

2144

43.08

46.30

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The addition
$\left(\overrightarrow{A}+\overrightarrow{B}\right)$
of the following vectors $\overrightarrow{A}=\left(15,\ 3,\ 2\right)\ \ \ and\ \ \ \overrightarrow{B}=\left(-5,\ 2,\ -9\right)$ is...

$\overrightarrow{R}=\left(10,5,-7\right)$

$\overrightarrow{R}=\left(20,5,-7\right)$

$\overrightarrow{R}=\left(20,1,11\right)$

$\overrightarrow{R}=\left(10,1,11\right)$

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The subtraction
$\left(\overrightarrow{A}-\overrightarrow{B}\right)$
of the following vectors $\overrightarrow{A}=\left(15,\ 3,\ 2\right)\ \ \ and\ \ \ \overrightarrow{B}=\left(-5,\ 2,\ -9\right)$ is...

$\overrightarrow{R}=\left(10,5,-7\right)$

$\overrightarrow{R}=\left(20,5,-7\right)$

$\overrightarrow{R}=\left(20,1,11\right)$

$\overrightarrow{R}=\left(10,1,11\right)$

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The dot product
$\left(\overrightarrow{A}\cdot\overrightarrow{B}\right)$
of the following vectors $\overrightarrow{A}=\left(15,\ 3,\ 2\right)\ \ \ and\ \ \ \overrightarrow{B}=\left(-5,\ 2,\ -9\right)$ is...

-51

-87

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

11 questions

Gravitation / Kegravitian

Quiz

•

KG - Professional Dev...

9 questions

Kinematic Equations

Quiz

•

10th - 12th Grade

10 questions

Magnetism Unit Quiz

Quiz

•

10th - 12th Grade

10 questions

Simple Machine Test

Quiz

•

10th - 12th Grade

10 questions

CIRCUITAZIONE CAMPO ELETTRICO E MAGNETICO

Quiz

•

11th - 12th Grade

12 questions

Kinematics and Forces on a Single Object

Quiz

•

9th - 12th Grade

13 questions

vectors review

Quiz

•

10th - 12th Grade

8 questions

Fizyka Atomowa

Quiz

•

1st Grade - Professio...

Popular Resources on Wayground

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

$fractions$

22 questions

fractions

Quiz

•

3rd Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

15 questions

Equivalent Fractions

Quiz

•

4th Grade

20 questions

Figurative Language Review

Quiz

•

6th Grade

Discover more resources for Physics

20 questions

Potential and Kinetic Energy

Quiz

•

9th - 12th Grade

34 questions

Energy Review

Quiz

•

9th - 12th Grade

14 questions

Bill Nye Waves

Interactive video

•

9th - 12th Grade

$Reflection, Refraction & Diffraction$

24 questions

Reflection, Refraction & Diffraction

Quiz

•

6th - 12th Grade

Vector operations

The x-component of vector T→=27.73, ∝=43.84°, β=64.35°, γ=57.25°\overrightarrow{T}=27.73,\ \ \propto=43.84°,\ \ \beta=64.35°,\ \gamma=57.25°T=27.73, ∝=43.84°, β=64.35°, γ=57.25° is...

The z-component of vector M→=3i−2j+7k\overrightarrow{M}=3i-2j+7kM=3i−2j+7k is....

The magnitude of vector M→=3i−2j+7k\overrightarrow{M}=3i-2j+7kM=3i−2j+7k is....

The y-component of vector T→=27.73, ∝=43.84°, β=64.35°, γ=57.25°\overrightarrow{T}=27.73,\ \ \propto=43.84°,\ \ \beta=64.35°,\ \gamma=57.25°T=27.73, ∝=43.84°, β=64.35°, γ=57.25° is...

The magnitude of vector K→=40i−12j+20k\overrightarrow{K}=40i-12j+20kK=40i−12j+20k is....

The addition \left(\overrightarrow{A}+\overrightarrow{B}\right)(A+B) of the following vectors A→=(15, 3, 2) and B→=(−5, 2, −9)\overrightarrow{A}=\left(15,\ 3,\ 2\right)\ \ \ and\ \ \ \overrightarrow{B}=\left(-5,\ 2,\ -9\right)A=(15, 3, 2) and B=(−5, 2, −9) is...

The subtraction (A→−B→)\left(\overrightarrow{A}-\overrightarrow{B}\right)(A−B) of the following vectors A→=(15, 3, 2) and B→=(−5, 2, −9)\overrightarrow{A}=\left(15,\ 3,\ 2\right)\ \ \ and\ \ \ \overrightarrow{B}=\left(-5,\ 2,\ -9\right)A=(15, 3, 2) and B=(−5, 2, −9) is...

The dot product (A→⋅B→)\left(\overrightarrow{A}\cdot\overrightarrow{B}\right)(A⋅B) of the following vectors A→=(15, 3, 2) and B→=(−5, 2, −9)\overrightarrow{A}=\left(15,\ 3,\ 2\right)\ \ \ and\ \ \ \overrightarrow{B}=\left(-5,\ 2,\ -9\right)A=(15, 3, 2) and B=(−5, 2, −9) is...

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Physics

The x-component of vector
$\overrightarrow{T}=27.73,\ \ \propto=43.84°,\ \ \beta=64.35°,\ \gamma=57.25°$ is...

The z-component of vector
$\overrightarrow{M}=3i-2j+7k$ is....

The magnitude of vector
$\overrightarrow{M}=3i-2j+7k$ is....

The y-component of vector
$\overrightarrow{T}=27.73,\ \ \propto=43.84°,\ \ \beta=64.35°,\ \gamma=57.25°$ is...

The magnitude of vector
$\overrightarrow{K}=40i-12j+20k$ is....

The addition
$\left(\overrightarrow{A}+\overrightarrow{B}\right)$
of the following vectors $\overrightarrow{A}=\left(15,\ 3,\ 2\right)\ \ \ and\ \ \ \overrightarrow{B}=\left(-5,\ 2,\ -9\right)$ is...

The subtraction
$\left(\overrightarrow{A}-\overrightarrow{B}\right)$
of the following vectors $\overrightarrow{A}=\left(15,\ 3,\ 2\right)\ \ \ and\ \ \ \overrightarrow{B}=\left(-5,\ 2,\ -9\right)$ is...

The dot product
$\left(\overrightarrow{A}\cdot\overrightarrow{B}\right)$
of the following vectors $\overrightarrow{A}=\left(15,\ 3,\ 2\right)\ \ \ and\ \ \ \overrightarrow{B}=\left(-5,\ 2,\ -9\right)$ is...