Grade 9 Vector Components Worksheet
This worksheet helps Grade 9 students understand and practice breaking down vectors into their horizontal and vertical components.
Includes
Standards
Topics
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.
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?
5 units
7 units
12 units
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?
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