Home / Worksheets / Grade 9 / Math / Grade 9 Vector Components Worksheet

Grade 9 Vector Components Worksheet

This worksheet helps Grade 9 students understand and practice breaking down vectors into their horizontal and vertical components.

Grade 9 Math AlgebraVector Components
Use This Worksheet

Includes

3 Short AnswerFill in the BlanksMultiple Choice

Standards

CCSS.MATH.CONTENT.HSN.VM.A.1CCSS.MATH.CONTENT.HSN.VM.A.2

Topics

mathalgebravectorscomponentsgrade 9
7 sections · Free to use · Printable
← More Math worksheets for Grade 9

Vector Components Practice

Name:

Date:

Score:

Read each question carefully and provide the best answer. Show all your work for full credit.

1. Define what a vector component is in your own words.

2. Why is it useful to break down a vector into its components?

3. A vector pointing directly to the right has a   horizontal component and a   vertical component.

4. If a vector has a magnitude of 10 units and an angle of 0 degrees with the positive x-axis, its x-component is   and its y-component is  .

5. A vector has a magnitude of 5 units and makes an angle of 30 degrees with the positive x-axis. Draw this vector on the coordinate plane below and then calculate its horizontal (x) and vertical (y) components. Round your answers to two decimal places.

0246246

x-component:  

y-component:  

6. A vector has an x-component of 3 and a y-component of 4. What is the magnitude of this vector?

a

5 units

b

7 units

c

12 units

d

25 units

7. A boat travels at 15 km/h at an angle of 60 degrees north of east. Calculate the boat's velocity component in the eastward direction and in the northward direction. Round your answers to one decimal place.

8. A force of 20 N is applied at an angle of 45 degrees below the horizontal. What are the horizontal and vertical components of this force?