Vector Components Worksheet
A Grade 10 math worksheet focusing on understanding and calculating vector components, including magnitude and direction.
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Vector Components Worksheet
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Read each question carefully and provide clear, concise answers. Show all your work for calculations.
1. Which of the following best describes a vector component?
The length of the vector.
The angle of the vector with an axis.
The projection of the vector onto a coordinate axis.
The starting point of the vector.
2. A vector has an x-component of 3 and a y-component of 4. What is its magnitude?
1
5
7
12
3. A vector can be resolved into its components, which are perpendicular to each other.
4. The of a vector is calculated using the Pythagorean theorem with its components.
5. A vector has a magnitude of 10 units and makes an angle of 30° with the positive x-axis. Calculate its x and y components.
6. A vector has components (X, Y) = (-5, 12). What is the angle it makes with the positive x-axis?
7. The order in which vector components are added affects the resultant vector.
True
False
8. A boat travels 20 km North and then 15 km East. What are the components of its displacement vector, and what is its total displacement (magnitude and direction)?