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Introduction to Vectors
Introduction to Vectors
In this class we are looking at vectors as lines of forces. Each force vector will have a magnitude (length) and a direction (angle).
The vector addition will be based on the magnitude components in the direction of each axis
2 Dimension Vector = (Fx, Fy) 3 Dimension Vector = (Fx, Fy, Fz)
Breaking vectors into their components and back.
Breaking vectors into their components and back.
Click on the image to the left to watch the video.
Notes from Video:
A Vector is defined by its Magnitude and Direction
A Vector can be broken up into its components acting along each primary axis.
Fx = Magnitude x cos(direction)
Fy = Magnitude x sin(direction)
The components of a vector can be reassembled back into the vector's Magnitude and Direction
Magnitude = SQRT (Fx^2 + Fy^2)
Direction = (Three Step Process)
Step 1 = tan-1 (Fy/Fx) --- Slope is Rise/Run
Step 2 > If Fx is negative, add 180 to step 1
Step 3 > If the result of Step 2 is negative, add 360 to determine the Direction.
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