In this vectors worksheet, students determine the amount of work it takes to move objects, they determine if vectors are parallel or orthogonal and identify the displacement direction and the force direction. This one-page worksheet...

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...

Show your math class how to use vectors in adding complex numbers. Vectors represent complex numbers as opposed to points in the coordinate plane. The class uses the geometric representation to add and subtract complex numbers and...

Slide into vector transformations. Column vectors define the translation of figures by defining the number of units to move horizontally and vertically on the coordinate graph. Pupils develop an understanding of how to read the...

Those who take this challenge will draw force diagrams and then calculate velocities and displacement. The problems are applicable to any general physics curriculum that covers motion. Add this to your collection of homework...

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.

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.

In this vector worksheet. learners solve six vector problems. In four of the problems students add three vectors together to get the resultant vector and in two of the problems learners add four vectors together to get the resultant vector.

In this vectors worksheet, students solve 8 problems given each vector in kilometers and their degree. Students indicate the magnitude and direction of the resultant vector.

In this vector activity, students solve ten problems given vector directions in kilometers for two distances. They use a given key that 1 cm=1km.

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

In this matrices and vectors worksheet, students solve 9 various types of problems related to forming matrices and vectors. First, they set up each system of equations listed in matrix form using mathematical notation. Then, students...

In this geometry worksheet, students investigate vectors. They add, subtract and identify the magnitude of each vector. There are 4 questions with an answer key.

In this interpretation of vectors and linear systems worksheet, students describe the geometric appearance of two vectors. They add the two vectors and sketch the sum as well as the vectors to determine the commutativity of vector...

In this quaternions worksheet, students solve and complete 7 different problems. First, they read and identify quaternions as expressions in a given form of ordinary real numbers. Then, students add and subtract a few problems by doing...

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

For this math worksheet, 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.

Provide an introduction to translations and the notation used to denote a translation on the coordinate plane. An independent practice portion provides the pupils several opportunities to practice the skill of translations along...

To work through the complexity of coordinate geometry pupils make the connection between the coordinate plane and the complex plane as they plot complex numbers in the 11th part of a series of 32. Making the connection between the two...

In this matrices worksheet, students solve 10 short answer problems. Students perform row operations on matrices to find compliments, inverted matrices, orthogonal matrices, etc.

In this matrix operations worksheet, students perform matrix addition and multiplication. This two-page worksheet contains six problems. Definitions, examples and explanations are also provided.