Curated OER
Linear Systems: Vector Spaces and Subspaces
In this vector space worksheet, students find the column space of given matrices, the identify the vector space and determine if the matrix is invertible. This four-page worksheet contains approximately six multi-step problems.
Mathed Up!
Vectors
Young mathematicians connect vectors to geometric shapes by watching a video that expresses vectors in relation to the sides of geometric figures. They then apply what they learned by completing a worksheet of practice questions.
Curated OER
Introduction to Vector Spaces
In this vector spaces worksheet, students identify the vector in a given set. They explore addition and scalar multiplication in their vectors. This two-page worksheet contains 13 problems.
Curated OER
Linear Systems: Orthogonality of Vector Spaces of a Matrix
In this vector spaces of a matrix activity, students decompose any vector into two orthogonal pieces. They identify the nullspace, row space, and find a reduced echelon. This two-page activity contains examples and two problems.
Curated OER
Linear Systems: Vector Spaces and Subspaces
In this vector spaces and subspaces worksheet, students review column spaces of matrices. They determine if the set of all 2 by 2 matrices is a vector space. Students determine if the set of all invertible 2 by 2 matrices is a vector...
Curated OER
Linear Systems: Vector Spaces of a Matrix
In this vector space matrix worksheet, students decompose given vectors into two orthogonal pieces--one from the nullspace and another from the row space. this two-page worksheet contains examples and approximately five problems.
Curated OER
Linear Systems: Introduction to Vector Space
In this vector space worksheet, students find the column spaces of given matrices. This two-page worksheet contains examples, theorems, explanations, and approximately three problems.
Curated OER
Linear Systems: Vector Spaces
In this vector space learning exercise, students explore linearly independent vectors. They identify the row space, null space and subspaces of a given matrix. This four-page learning exercise contains approximately eight problems.
Curated OER
Linear Systems: Vector Spaces
For this vector spaces worksheet, students explore the column and rowspace of a matrix. They find the basis of subspaces associated with a given matrix. Students observe the relationship between vectors and the nullspace. This...
NASA
Space Vectors
How do you determine the position coordinates of objects in space? Using the provided worksheet, class members determine the location of the space shuttle based upon its spherical coordinates from the Dryden Flight Research Center.
EngageNY
Coordinates of Points in Space
Combine vectors and matrices to describe transformations in space. Class members create visual representations of the addition of ordered pairs to discover the resulting parallelogram. They also examine the graphical representation of...
Curated OER
Worksheet 19: Ship Positions
In this math worksheet, students read informational paragraphs and then answer 18 questions using data from their readings. Questions are about vectors, positions, distance and orbits.
International Technology Education Association
Dampen That Drift!
The spacecraft is drifting too far off course! Two games help explain how a spacecraft can use its thrusters to maintain its position. The games have pupils be the components of vectors in order to create and counteract the disturbances.Â
Curated OER
Linear Systems: The Column Space
In this column space worksheet, students find the column spaces of given matrices. This two-page worksheet contains examples of and explanations. One problem is provided for students to complete.
EngageNY
Matrix Multiplication Is Not Commutative
Should matrices be allowed to commute when they are being multiplied? Learners analyze this question to determine if the commutative property applies to matrices. They connect their exploration to transformations, vectors, and complex...
Curated OER
Linear Systems: Review of Vectors
In this review of vectors worksheet, students explore vectors and their uses. They multiply and subtract vectors and identify the linear combinations of given matrices. This two-page worksheet contains approximately ten problems.
Curated OER
Worksheet 24 Spring 1996
In this math worksheet, students find all the vectors in three dimensional space that have the length of 4. Also, the first and third components are the same. Finally, the second component is the sum of the first and third components.
Curated OER
General Solution to Ax=b
For this math worksheet, students practice finding the vector spaces associated with the rectangular matrices. Then they find the complete solutions to the given equation using a matrix.
Physics Classroom
Trajectory - Angle Launched Projectiles
Horizontal and vertical speeds change as projectiles move through space. As part of a series on vectors and projectiles, scholars create vector diagrams to compare these speeds at various locations. They they determine the values for...
Curated OER
Which Quadrilateral Is It?
High schoolers prove conjectures about geometric figures on the plane or in space using coordinate geometry. They develop fluency in operations with real numbers, vectors and matrices using mental computation or paper-and-pencil...
Curated OER
Newton's Laws and Forces
In this Newton's laws and forces worksheet, students answer 11 questions about inertia, vectors, force, and acceleration using Newton's laws. They also answer 3 questions about classification of species.
Curated OER
Vectors
Students differentiate distance and displacement. In this physics lesson, students use formulas to calculate for displacement. They draw vectors using the grid.
Urbana School District
Electric Fields
What kind of pears do electricians eat? Amperes! Presentation begins with electric field vectors for various charge configurations and field strengths for both point charges and uniform fields. It continues with various surfaces,...
Curated OER
Linear Systems: Column Space and Nullspace of a Matrix
In this matrix worksheet, students find the column space and nullspace of a matrix. They give examples of vectors. This two-page worksheet contains four problems.