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Precalculus
»
F.
Polar Coordinates and Vectors
»
F.2.
Vectors in the Plane
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Vectors and Component Form
Overview
Show that two vectors in a plane are equivalent
Find the component form and magnitude of the vector given a graph
Find the component form and magnitude of the vector given an initial point and terminal point
Graph the vector using vector operations
Find the resultant vector given two vectors in component form
Unit Vectors
Overview
Find the unit vector in the direction of the given vector
Find the vector with the given magnitude and direction
Write a linear combination of the standard unit vectors given the initial point and terminal point
Find the component form of the vector given an equation relating two vectors
Direction Angles
Overview
Find the magnitude and direction angle of the vector
Find the component form of the vector given its magnitude and the angle it makes with the positive x-axis
Find the component form of the sum of two vectors with the given direction angles
Use the Law of Cosines to find the angle between two vectors
Word Problems – use vectors to find speed and direction
Word Problems – resultant force
Vectors and Component Form — Graph the vector using vector operations
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