N-VM: Vector and Matrix Quantities

Vector and Matrix Quantities

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Vector and Matrix Quantities introduces the two main objects of linear algebra. Three clusters address representing vectors and applying them to velocity and force problems, performing vector addition and scalar multiplication, and carrying out matrix operations including multiplication and understanding matrices as linear transformations of the plane.

N-VM.ARepresent and model with vector quantities.N-VM.BPerform operations on vectors.N-VM.CPerform operations on matrices and use matrices in applications.
Example Problems
A curve is defined by the parametric equations and .
What is
in terms of t?
The component form of vector is .
Find
.
The component form of vector is .
Find
.
Vector has a terminal point , an x component of 3, and a y component of 3.

Find the coordinates of the initial point, A.
The component form of vector is .
Find
.
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