In this dot product worksheet, students identify the properties of the dot product. They sketch vectors and obtain expressions for diagonals. This two-page worksheet contains examples and explanations with two problems.

In this vector worksheet, learners find the length of vectors and the distance between two points. This two-page worksheet contains examples, definitions, and explanations, as well as two problems.

In this parametric equation worksheet, students find a parametric representation by using the vector formula. They find the equation of a plane passing through given points. This two-page worksheet contains examples, explanations and...

In this vector spaces of a matrix instructional activity, students decompose any vector into two orthogonal pieces. They identify the nullspace, row space, and find a reduced echelon. This two-page instructional activity contains...

In this projection worksheet, students determine the projections of a given matrix. This four-page worksheet contains explanations and examples and approximately ten problems to complete.

In this graphical interpretation of vectors worksheet, students execute operations of addition and multiplication by a scalar. They sketch results and determine the commutativity of vector addition. This three-page worksheet contains...

In this linear systems worksheet, students use a matrix to represent linear systems. This four page worksheet provides examples, explanations and approximately eight problems to complete.

In this vector space activity, students explore linearly independent vectors. They identify the row space, null space and subspaces of a given matrix. This four-page activity contains approximately eight problems.

For this matrices worksheet, students write matrix notation to represent linear systems. This four-page worksheet contains approximately 15 problems.

In this math activity, students practice reading the examples of a vector onto a subspace. They also examine the projection matrix.

For this math worksheet, students practice using the operations on vectors and matrices. They find the parallel vector to the given one.

In this math worksheet, students examine the process of multiplying vectors to find their products. They practice finding the geometric and algebraic views for the solutions.

In this vector and matrix worksheet, students explore matrix notation to represent linear systems. They use geometric interpretations of linear systems. This three-page worksheet contains three practice problems, explanations and...

In this math instructional activity, students examine the operations of vectors and matrices. Then they use the operations to compare the vectors that are parallel and perpendicular.

In this vector worksheet, students find the coordinates of a midpoint, compute the position of vectors, and write a vector equation. This two-page worksheet contains four problems.

In this dot product learning exercise, students consider vectors, find the value of an angle, and confirm the area of a given parallelogram. This two-page learning exercise contains three problems.

In this planes learning exercise, students consider the position of given vectors and find the vector equation of a plane. They identify the points that lie on a plane and determine the equation of a line through given points. This...

In this polar form worksheet, students write complex numbers in polar form. They draw an Argand diagram containing vectors and draw sketches representing in a coordinate plane. This two-page worksheet contains thirteen multi-step...

In this math learning exercise, students imagine a situation where a weight is attached to a string and it is swung in a circle. Then they use vectors and derivatives to describe the motion.

In this math instructional activity, learners investigate vectors and polar coordinates. They convert the paths of polar coordinates to Euclidian points.

For this math worksheet, students draw two vectors u and v based at the same point. The vectors are considered neither parallel nor orthogonal.

In this math worksheet, learners define the sets of vectors. They also observe the concept of area for the parallelogram and how vectors are used.

In this math worksheet, learners investigate the given vectors. Then they apply the knowledge to prove the formula for the triangle formed by them.

In this math worksheet, students fill in the missing boxes while investigating the concept of vectors. They determine if two vectors are orthogonal or parallel.