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MA 371 - Vector Norm: Dot Product
For this dot product worksheet, students solve 6 short answer problems. Students find unit vectors in the same direction as a given vector. Students express vectors as a linear combination of the standard basis vectors. Students find a...
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MA 371 Homework 1: Vectors
In this vectors worksheet, students solve 7 short answer problems. Students find vectors that are orthogonal. Students solve systems of equations by converting matrices into reduced row echelon form.
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Vectors
For this vectors worksheet, students solve and complete 6 various types of problems. First, they find two unit vectors that are parallel to the given vector and illustrate. Then, students find parametric equations for the line that...
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Matrices and Vectors
In this matrices and vectors worksheet, learners 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...
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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.
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Vectors
In this vectors learning exercise, students solve and complete 6 various types of problems. First, they find an equation of a sphere with a given center point and endpoint of a radius at the point. Then, students find the scalar and...
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Science: Vectors
Students solve vector problems and identify the x and y coordinates. They determine if the coordinates are positive, negative, or zero. Students solve problems and convert the x and y coordinates to magnitude and direction.
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Linear Systems: Graphical Interpretation of Vectors and Linear Systems
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...
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Worksheet 21 Spring 1996
In this math learning exercise, learners consider a path around the unit circle parameterized by σ on the interval [0, 1] with σ(t) = sin(5πt − π), cos(5πt − π). Then they find the vector.
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Matrix operations and Matrix Inverses
Eleventh graders study how to combine like vector's that are matrices. In this matrix operations worksheet, 11th graders combine matrices linearly and define the matrix-matrix product and its properties. Students also study matrix...
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Worksheet 12
In this math activity, learners explain the vector parametric equation for a line, scalar parametric equations, symmetric equations, and the implicit equation for a line.
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Hang Time
Students simulate the motion of a fly ball with different winds. They use a partner to provide the simulated wind. Students draw a baseball diamond and the field on a piece of paper. They drag the pen across the paper to show the path of...
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Matrix Operations
In this matrix operations worksheet, students solve 3 different sets of problems that include matrix operations. They solve each matrices and explain the relation between the computed matrices in each problem. Then, students prove or...
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Multivariable Calculus: Bonus Quiz 6
In this gradient operator and gradient fields worksheet, students determine if two vectors are gradient fields. They solve for the appropriate scalar functions of a vector variable. Students show that the gravitation al force exerted on...
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Worksheet 11
In this math worksheet, students find the vector parametric equation and symmetric equations for the line using two coordinate points.
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Complex Numbers
In this algebra learning exercise, students solve complex numbers using multiplication and division properties. There are 10 questions with an answer key.
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Worksheet 22
In this math learning exercise, students demonstrate that the point ( 1√ 2 , −1 2 , 1 2 ) lies on the unit sphere. They find the equation of the plane tangent to the unit sphere.