Vector Components Worksheet
A Grade 11 Math worksheet covering vector components, resolution of vectors, and calculations involving magnitude and direction.
Includes
Standards
Topics
Vector Components Worksheet
Name:
Date:
Score:
Read each question carefully and provide your answer in the space provided. Show all your work for full credit.
1. Resolve the vector with magnitude 10 units and direction 30° from the positive x-axis into its horizontal (x) and vertical (y) components. Show your calculations.
x-component:
y-component:
2. A force of 50 N acts at an angle of 60° above the horizontal. Calculate the horizontal and vertical components of this force.
3. The horizontal component of a vector is calculated using the function, while the vertical component uses the function.
4. To find the magnitude of a vector from its components, we use the theorem.
5. The direction of a vector can be found using the inverse function of its components.
6. A vector has an x-component of 3 and a y-component of 4. What is its magnitude?
5
7
1
12
7. If a vector's x-component is 0 and its y-component is negative, in which direction does the vector point?
Positive x-axis
Negative x-axis
Positive y-axis
Negative y-axis
8. Vector A has components (3, 5). Vector B has components (-2, 6). Find the components of the resultant vector R = A + B.
9. A boat travels 15 km East and then 20 km North. What is the magnitude and direction of the boat's displacement from its starting point?
10. The components of a vector are always positive.
True
False
11. If a vector lies entirely on the y-axis, its x-component is zero.
True
False
12. Plot the vector with components (4, -3) on the coordinate plane below. Label the x and y components.
Related Worksheets
Finding Polynomial Functions from Graphs
This worksheet helps Grade 11 students practice identifying key features of polynomial graphs and using them to construct polynomial functions.
Radical Operations Worksheet
This worksheet provides practice on simplifying, adding, subtracting, multiplying, and dividing radical expressions for Grade 11 students.
Inductive Reasoning Worksheet
A Grade 11 math worksheet focusing on inductive reasoning, pattern recognition, and forming conjectures.
Conditional Statements Worksheet
Grade 11 Math worksheet focusing on conditional statements, converses, inverses, contrapositives, and biconditionals.
Solving Polynomial Equations Worksheet
Grade 11 Math worksheet focusing on solving polynomial equations, including factoring, rational root theorem, and synthetic division.
Introduction to Mathematical Proofs
This worksheet introduces grade 11 students to fundamental concepts and techniques in mathematical proofs, including direct proof, proof by contradiction, and propositional logic.
Grade 11 Matrices Worksheet
A worksheet for Grade 11 algebra students focusing on fundamental matrix operations, determinants, and inverses.
Properties of Equality Worksheet
Explore and apply the fundamental properties of equality including reflexive, symmetric, transitive, addition, subtraction, multiplication, and division properties with algebraic expressions.