01.20.2017. Friday
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 Geometry
Two-dimensional geometric shapes
⦿ Rhombus
⦿ Parallelogram
⦿ Trapezoid
⦿ Kite
⦿ Circle
⦿ Circular sector
⦿ Circular segment
⦿ Area of a Triangle
⦿ Squere
⦿ Rectangle
Three-dimensional geometric shapes
⦿ Cube
⦿ Sphere
⦿ Cylinder
⦿ Cone
⦿ Prism
⦿ Pyramide
⦿ Platonic solids
Trigonometry
⦿ Law of Sines
⦿ Law of Cosines
⦿ Trygonometry Identities of same angle
⦿ Identities for the sum and difference of two angles
⦿ Trigonometric identities of double angles
⦿ Trigonometric identities of half angles
⦿ Sum and difference of trigonometric functions
⦿ Trigonometry of right triangles
Vectors
⦿ Scalar Product of Vectors
⦿ Vector Product of Vectors
Analytical Geometry 2D
⦿ Distance between two points
⦿ Circle
⦿ Linear equation
⦿ Ellipse


Vectors

Vector Product of Vectors

 

Vector Product of Vectors

a = x 1 i + y 1 j + z 1 k , b = x 2 i + y 2 j + z 2 k
c a c b
c = a × b = | i j k x 1 y 1 z 1 x 2 y 2 z 2 |
c = ( y 1 z 2 z 1 y 2 ) i + ( z 1 x 2 x 1 z 2 ) j + ( x 1 y 2 y 1 x 2 ) k
| c | = | a | · | b | · s i n α

The result of vector product, vector c⃗, has a length that is equal with the area of parallelogram between vecrors a⃗ and b⃗ (pink area).