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Vectors, Introduction to Vectors, Vectors, Scalar, Perpendicular…
Vectors
Applications of Vectors
Vectors as Forces:
Resolution of a Vector 
Vectors have a Horizontal(i) and Verticle (j) component
Equilibrant Forces:
A number of vector forces that oppose when acting on an object. This force maintains the object in a state of equilibrium
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CH 7: Worked Example #2 :
Definition: -Force is determined by multiplying mass(kg) and acceleration (m/s^2).
-The resulting unit is in Newtons (N) Since force is calculated by multiplying a scalar (mass) and vector(acceleration), force itself is a vector
Velocity
Air Velocity: As an object travels, the velocity of air flow will create resultant velocity and/or change the direction of
the object.
Ground Velocity: As an object travels, the velocity of water flow will create resultant velocity and/or change the
direction of the object.
Scalar & Vector Projection
Direction Cosines and Direction Angles
Scalar:
Vector
Dot Product
Definition: Scalar number that represents the amount one vector travels in the direction of the other vector. Can be
determine with either geometric or algebraic vectors. Both will provide the same information.
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Properties
Work
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Introduction to Vectors
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Algebraic Vectors: Vectors that are placed on a coordinate plane in order to use vectors in application
Vector Subtraction
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Adding and Subtracting vectors uses the same process in both R^2 and R^3, of course in R^2 you ignore the z-component
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CH 6: Example #1
CH 6: Worked Example #2
Vectors
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Examples: Velocity, Friction, Gravity, Acceleration
Scalar
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Examples: Age, Height, Area, Temperature
Perpendicular >The Dot Product gives a scalar
CH8: Worked Example #2
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Parallel
When 2 vectors are Crossed, it gives another vector
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- A line and a point not on the line
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