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10 cards from this deck
It represents a point's position relative to a fixed origin.
As r=(x,y)r = (x, y)r=(x,y) where (x,y)(x, y)(x,y) are the point's coordinates.
As r=(x,y,z)r = (x, y, z)r=(x,y,z) where (x,y,z)(x, y, z)(x,y,z) are the coordinates.
∣r∣=x2+y2|r| = \sqrt{x^2 + y^2}∣r∣=x2+y2 for a 2D position vector.
∣r∣=x2+y2+z2|r| = \sqrt{x^2 + y^2 + z^2}∣r∣=x2+y2+z2 for a 3D vector.
Vectors are collinear if they lie on the same line.
Displacement AB=b−aAB = b - aAB=b−a for position vectors aaa and bbb.
By normalizing the vector or using direction cosines.
Change in position vector over time gives the velocity.
Check if the area of triangle ABC is zero.
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