 # Vector Addition and Subtraction of Multiples

In this worksheet, students add and subtract multiples of simple 2D vectors. Key stage:  KS 4

Curriculum topic:  Geometry and Measures

Difficulty level:   ### QUESTION 1 of 10

A vector is a "carrier" of information regarding a shifting movement.

A 2D vector can be written in the form

 ( x ) y

where x is the horizontal shift and y is the vertical shift.

The following diagram shows how a positive of negative number affects the direction of the shift. To add or subtract vectors, we add or subtract the top numbers and the bottom numbers separately.

To find multiples of vectors, we simply multiply the top and bottom numbers by the multiple.

Example 1

Work out:

 ( 3 ) + 2 ( -2 ) 5 6

Answer

 ( 3 + -4 ) 5 + 12

 ( -1 ) 17

Example 2

Work out:

 4 ( 3 ) - ( -2 ) -5 6

Answer

 ( 12 - -2 ) -20 - 6

 ( 14 ) -26

Select the correct answer to:

 ( 3 ) + 2 ( -2 ) 4 3

Answers

 1 ( -1 ) 2. ( 4 ) 3. ( -1 ) 10 10 7

1.

2.

3.

Select the correct answer to:

 2 ( 3 ) + ( -2 ) 4 3

Answers

 1 ( -1 ) 2. ( 4 ) 3. ( -1 ) 10 11 7

1.

2.

3.

Select the correct answer to:

 3 ( 3 ) + ( 4 ) -1 -1

Answers

 1 ( 13 ) 2. ( 7 ) 3. ( 13 ) -2 -2 -4

1.

2.

3.

Select the correct answer to:

 ( 3 ) - 2 ( 4 ) -1 -1

Answers

 1 ( 11 ) 2. ( 7 ) 3. ( -5 ) -2 -3 1

1.

2.

3.

Select the correct answer to:

 ( 3 ) - ( 4 ) -1 -1

Answers

 1 ( -1 ) 2. ( -1 ) 3. ( -7 ) 0 -2 -2

1.

2.

3.

Select the correct answer to:

 3 ( 3 ) - 2 ( 4 ) -1 -1

Answers

 1 ( 13 ) 2. ( 1 ) 3. ( 13 ) -2 -1 -4

1.

2.

3.

Select the correct answer to:

 2 ( -5 ) - 3 ( 1 ) 0 -1

Answers

 1 ( -13 ) 2. ( 1 ) 3. ( 13 ) 3 -2 -3

1.

2.

3.

Select the correct answer to:

 3 ( -4 ) - ( 4 ) 1 -2

Answers

 1 ( -16 ) 2. ( 0 ) 3. ( -16 ) 1 -1 5

1.

2.

3.

Select the correct answer to:

 3 ( 4 ) + 2 ( 2 ) -1 -3

Answers

 1 ( 14 ) 2. ( 16 ) 3. ( -16 ) -4 -9 -7

1.

2.

3.

Select the correct answer to:

 4 ( -2 ) - 2 ( -2 ) -1 -1

Answers

 1 ( 4 ) 2. ( -8 ) 3. ( -4 ) -4 2 -2

1.

2.

3.

• Question 1

Select the correct answer to:

 ( 3 ) + 2 ( -2 ) 4 3

Answers

 1 ( -1 ) 2. ( 4 ) 3. ( -1 ) 10 10 7

CORRECT ANSWER
1.
• Question 2

Select the correct answer to:

 2 ( 3 ) + ( -2 ) 4 3

Answers

 1 ( -1 ) 2. ( 4 ) 3. ( -1 ) 10 11 7

CORRECT ANSWER
2.
• Question 3

Select the correct answer to:

 3 ( 3 ) + ( 4 ) -1 -1

Answers

 1 ( 13 ) 2. ( 7 ) 3. ( 13 ) -2 -2 -4

CORRECT ANSWER
3.
• Question 4

Select the correct answer to:

 ( 3 ) - 2 ( 4 ) -1 -1

Answers

 1 ( 11 ) 2. ( 7 ) 3. ( -5 ) -2 -3 1

CORRECT ANSWER
3.
• Question 5

Select the correct answer to:

 ( 3 ) - ( 4 ) -1 -1

Answers

 1 ( -1 ) 2. ( -1 ) 3. ( -7 ) 0 -2 -2

CORRECT ANSWER
1.
• Question 6

Select the correct answer to:

 3 ( 3 ) - 2 ( 4 ) -1 -1

Answers

 1 ( 13 ) 2. ( 1 ) 3. ( 13 ) -2 -1 -4

CORRECT ANSWER
2.
• Question 7

Select the correct answer to:

 2 ( -5 ) - 3 ( 1 ) 0 -1

Answers

 1 ( -13 ) 2. ( 1 ) 3. ( 13 ) 3 -2 -3

CORRECT ANSWER
1.
• Question 8

Select the correct answer to:

 3 ( -4 ) - ( 4 ) 1 -2

Answers

 1 ( -16 ) 2. ( 0 ) 3. ( -16 ) 1 -1 5

CORRECT ANSWER
3.
• Question 9

Select the correct answer to:

 3 ( 4 ) + 2 ( 2 ) -1 -3

Answers

 1 ( 14 ) 2. ( 16 ) 3. ( -16 ) -4 -9 -7

CORRECT ANSWER
2.
• Question 10

Select the correct answer to:

 4 ( -2 ) - 2 ( -2 ) -1 -1

Answers

 1 ( 4 ) 2. ( -8 ) 3. ( -4 ) -4 2 -2

CORRECT ANSWER
3.
---- OR ----

Sign up for a £1 trial so you can track and measure your child's progress on this activity.

### What is EdPlace?

We're your National Curriculum aligned online education content provider helping each child succeed in English, maths and science from year 1 to GCSE. With an EdPlace account you’ll be able to track and measure progress, helping each child achieve their best. We build confidence and attainment by personalising each child’s learning at a level that suits them.

Start your £1 trial