Vectors

Vector length
l = saknis(x^2+y^2)
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Spatial vector length
l = saknis(x^2 + y^2 + z^2)
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Scalar (dot) product of vectors
A*B = a*b*cos(α)
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Scalar (dot) product of vectors according to the coordinates
A*B = x1*x2 + y1*y2
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Scalar (dot) product of spacial vectors according to the coordinates
A*B = x1*x2 + y1*y2 + z1*z2
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Scalar (dot) product of vertical vectors
x1*x2 + y1*y2 = 0
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Scalar (dot) product of spatial vertical vectors
x1*x2 + y1*y2 + z1*z2= 0
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The angle between the vectors
cos(α) = (x1*x2 + y1*y2) / (saknis(x1^2 + y1^2) * saknis(x2^2 + y2^2))
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The angle between the spacial vectors
cos(α) = (x1*x2 + y1*y2 + z1*z2) / (saknis(x1^2 + y1^2 + z1^2) * saknis(x2^2 + y2^2 + z2^2))
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Collinear vectors
x1 / x2 = y1 / y2
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The distance between points
AB = saknis((x2 - x1)^2 + (y2 - y1)^2)
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The distance between points in space
AB = saknis((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2)
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