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