(ii) Find O E → \overrightarrow{OE} O E <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 4 a + 3 2 b \frac{1}{4}a+\frac{3}{2}b 4 1 a + 2 3 b

1 4 a − 2 b \frac{1}{4}a-2b 4 1 a − 2 b

(iii) Find C D → \overrightarrow{CD} C D <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 4 ( a − 2 b ) \frac{1}{4}\left(a-2b\right) 4 1 ( a − 2 b )

1 2 ( a + 2 b ) \frac{1}{2}\left(a+2b\right) 2 1 ( a + 2 b )

1 4 ( a + 2 b ) \frac{1}{4}\left(a+2b\right) 4 1 ( a + 2 b )

1 2 ( a − 2 b ) \frac{1}{2}\left(a-2b\right) 2 1 ( a − 2 b )

(ii) Find A C → \overrightarrow{AC} A C <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 3 ( b − a ) \frac{1}{3}\left(b-a\right) 3 1 ( b − a )

3 ( b − a ) 3\left(b-a\right) 3 ( b − a )

1 3 ( a − b ) \frac{1}{3}\left(a-b\right) 3 1 ( a − b )

1 3 ( a + b ) \frac{1}{3}\left(a+b\right) 3 1 ( a + b )

(iii) Find O C → \overrightarrow{OC} O C <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 3 ( 2 a + b ) \frac{1}{3}\left(2a+b\right) 3 1 ( 2 a + b )

3 ( 2 a + b ) 3\left(2a+b\right) 3 ( 2 a + b )

1 3 a + 1 3 b \frac{1}{3}a+\frac{1}{3}b 3 1 a + 3 1 b

2 3 a − 1 3 b \frac{2}{3}a-\frac{1}{3}b 3 2 a − 3 1 b

(i) Find P Q → \overrightarrow{PQ} P Q <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 ( 2 q − p ) 2\left(2q-p\right) 2 ( 2 q − p )

2 ( q − p ) 2\left(q-p\right) 2 ( q − p )

(ii) Find P X → \overrightarrow{PX} P X <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 3 ( 2 q − p ) \frac{2}{3}\left(2q-p\right) 3 2 ( 2 q − p )

2 ( 3 q − p ) 2\left(3q-p\right) 2 ( 3 q − p )

1 3 ( q − p ) \frac{1}{3}\left(q-p\right) 3 1 ( q − p )

2 3 q − 2 3 p \frac{2}{3}q-\frac{2}{3}p 3 2 q − 3 2 p

(iii) Find O X → \overrightarrow{OX} O X <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">

4 3 ( p + q ) \frac{4}{3}\left(p+q\right) 3 4 ( p + q )

4 3 ( p − q ) \frac{4}{3}\left(p-q\right) 3 4 ( p − q )

3 4 ( p + q ) \frac{3}{4}\left(p+q\right) 4 3 ( p + q )

(i) Find A B → \overrightarrow{AB} A 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">

1 2 ( a − b ) \frac{1}{2}\left(a-b\right) 2 1 ( a − b )

(ii) Find A D → \overrightarrow{AD} A D <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 ( a − b ) 2\left(a-b\right) 2 ( a − b )

(iii) Find C D → \overrightarrow{CD} C D <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 3 ( 4 b − a ) \frac{1}{3}\left(4b-a\right) 3 1 ( 4 b − a )

1 4 ( 3 b − a ) \frac{1}{4}\left(3b-a\right) 4 1 ( 3 b − a )

1 4 ( a − b ) \frac{1}{4}\left(a-b\right) 4 1 ( a − b )

(i) (a) Find A B → \overrightarrow{AB} A 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">

3 ( 2 b − a ) 3\left(2b-a\right) 3 ( 2 b − a )

3 ( 2 b − 2 a ) 3\left(2b-2a\right) 3 ( 2 b − 2 a )

− 6 b + 2 a -6b+2a − 6 b + 2 a

(i) (b) Find O D → \overrightarrow{OD} O D <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 ( a + b ) 2\left(a+b\right) 2 ( a + b )

2 ( a − b ) 2\left(a-b\right) 2 ( a − b )

(i) (c) Find B C → \overrightarrow{BC} B C <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">

6 ( 1 5 a − b ) 6\left(\frac{1}{5}a-b\right) 6 ( 5 1 a − b )

6 a − 1 5 b 6a-\frac{1}{5}b 6 a − 5 1 b

(ii) Find B E → \overrightarrow{BE} B E <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">

6 h ( 1 5 a − b ) 6h\left(\frac{1}{5}a-b\right) 6 h ( 5 1 a − b )

6 h ( 5 a − b ) 6h\left(5a-b\right) 6 h ( 5 a − b )

6 5 ( h a − b ) \frac{6}{5}\left(ha-b\right) 5 6 ( h a − b )

h ( 1 5 a + b ) h\left(\frac{1}{5}a+b\right) h ( 5 1 a + b )

Vectors in Mathematics

Authored by Gideon Mufumbi

Mathematics

11th - 12th Grade

CCSS covered

Used 19+ times

AI Actions

Add similar questions

Adjust reading levels

Convert to real-world scenario

Translate activity

More...

Content View

Student View

16 questions

Show all answers

MULTIPLE CHOICE QUESTION

1 min • 1 pt

(i) Find $\overrightarrow{OB}$

$a+2b$

$-a+2b$

$2a+b$

$2a-2b$

MULTIPLE CHOICE QUESTION

1 min • 1 pt

(ii) Find $\overrightarrow{OE}$

$a+3b$

$\frac{1}{4}a-2b$

$\frac{1}{4}a+\frac{3}{2}b$

$b+4a$

MULTIPLE CHOICE QUESTION

1 min • 1 pt

(iii) Find $\overrightarrow{CD}$

$\frac{1}{2}\left(a+2b\right)$

$\frac{1}{4}\left(a+2b\right)$

$\frac{1}{4}\left(a-2b\right)$

$\frac{1}{2}\left(a-2b\right)$

MULTIPLE CHOICE QUESTION

1 min • 1 pt

(i) Find $\overrightarrow{AB}$

$a-b$

$a+b$

$-a-b$

$b-a$

(ii) Find $\overrightarrow{AC}$

$3\left(b-a\right)$

$\frac{1}{3}\left(b-a\right)$

$\frac{1}{3}\left(a-b\right)$

$\frac{1}{3}\left(a+b\right)$

MULTIPLE CHOICE QUESTION

1 min • 1 pt

(iii) Find $\overrightarrow{OC}$

$\frac{1}{3}\left(2a+b\right)$

$3\left(2a+b\right)$

$\frac{1}{3}a+\frac{1}{3}b$

$\frac{2}{3}a-\frac{1}{3}b$

MULTIPLE CHOICE QUESTION

1 min • 1 pt

(i) Find $\overrightarrow{PQ}$

$2q-4p$

$2\left(2q-p\right)$

$2\left(q-p\right)$

$p-2q$

MULTIPLE CHOICE QUESTION

1 min • 1 pt

(ii) Find $\overrightarrow{PX}$

$2\left(3q-p\right)$

$\frac{1}{3}\left(q-p\right)$

$\frac{2}{3}q-\frac{2}{3}p$

$\frac{2}{3}\left(2q-p\right)$

MULTIPLE CHOICE QUESTION

1 min • 1 pt

(iii) Find $\overrightarrow{OX}$

$\frac{4}{3}\left(p+q\right)$

$p+q$

$\frac{4}{3}\left(p-q\right)$

$\frac{3}{4}\left(p+q\right)$

10.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

(i) Find $\overrightarrow{AB}$

$\frac{1}{2}\left(a-b\right)$

$a+b$

$b-a$

$a-b$

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

Potenciación

Quiz

•

1st - 12th Grade

20 questions

operaciones números complejos

Quiz

•

11th Grade

14 questions

PTS matematika peminatan kelas 12

Quiz

•

12th Grade

15 questions

TERCERO BGU UET

Quiz

•

12th Grade

15 questions

Studio di funzione

Quiz

•

12th Grade - University

12 questions

REVISION: TOPIC 3 & TOPIC 4

Quiz

•

12th Grade

20 questions

EXAMEN FUNDAMENTOS 1 (elevación-depresión)

Quiz

•

8th Grade - University

11 questions

Untitled Quiz

Quiz

•

6th Grade - University

Popular Resources on Wayground

8 questions

Spartan Way - Classroom Responsible

Quiz

•

9th - 12th Grade

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

14 questions

Boundaries & Healthy Relationships

Lesson

•

6th - 8th Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

3 questions

Integrity and Your Health

Lesson

•

6th - 8th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

9 questions

FOREST Perception

Lesson

•

20 questions

Main Idea and Details

Quiz

•

5th Grade

Discover more resources for Mathematics

25 questions

Logos

Quiz

•

12th Grade

14 questions

Making Inferences From Samples

Quiz

•

7th - 12th Grade

16 questions

Properties of Quadrilaterals

Quiz

•

11th Grade

23 questions

8th grade math unit 5B Perfect Squares and Cubes

Quiz

•

6th - 12th Grade

15 questions

Exponential Growth & Decay Practice

Quiz

•

12th Grade

12 questions

Add and Subtract Polynomials

Quiz

•

9th - 12th Grade

10 questions

Quadratic Regression Practice

Quiz

•

7th - 12th Grade

20 questions

Triangle Congruence Statements Quiz

Quiz

•

9th - 12th Grade

Vectors in Mathematics

(i) Find OB→\overrightarrow{OB}OB

(ii) Find OE→\overrightarrow{OE}OE

(iii) Find CD→\overrightarrow{CD}CD

(i) Find AB→\overrightarrow{AB}AB

(ii) Find AC→\overrightarrow{AC}AC

(iii) Find OC→\overrightarrow{OC}OC

(i) Find PQ→\overrightarrow{PQ}PQ​

(ii) Find PX→\overrightarrow{PX}PX

(iii) Find OX→\overrightarrow{OX}OX

(i) Find AB→\overrightarrow{AB}AB

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

(i) Find $\overrightarrow{OB}$

(ii) Find $\overrightarrow{OE}$

(iii) Find $\overrightarrow{CD}$

(i) Find $\overrightarrow{AB}$

(ii) Find $\overrightarrow{AC}$

(iii) Find $\overrightarrow{OC}$

(i) Find $\overrightarrow{PQ}$

(ii) Find $\overrightarrow{PX}$

(iii) Find $\overrightarrow{OX}$

(i) Find $\overrightarrow{AB}$