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VECTOR NOTATION
Force F1 broken into its components F1x = Mag(cos (angle)) and F1y = Mag(sin (angle))
Ex: F1 = 400# @ 110 degrees >> F1x = 400(cos 110) = -136.808# F1y = 400(sin 110) = 375.877
In vector notation
F1 = -136.808(i) + 375.877(j) i = X Axis, j = Y Axis
F1 = 400, 1a = -136.808, 1b=375.877
or
F1 = <-136.808,375.877> where ||F1|| = 400
DOT RPODUCT BETWEEN 2 VECTORS
Equation 1: V1 ●V2 = 1a x 2a + 1b x 2b
CROSS PRODUCT BETWEEN 2 VECTORS
Equation 2: V1 x V2 = 2a x 1b - 1a x 2b
Equation 3: V1 x V2 = Mag 1 x Mag 2 x sin(angle V1>V2 found from dot prod)
Introduction to the DOT Product
Introduction to the DOT Product
Application of the DOT Product
Application of the DOT Product
Finding the angle
between two vectors
Finding the angle
between two vectors
Examples of the DOT Product
Examples of the DOT Product
Another DOT Product Example
Another DOT Product Example
Introduction to the CROSS PRODUCT
Introduction to the CROSS PRODUCT
Application of the CROSS PRODUCT
Application of the CROSS PRODUCT
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