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Unit Vector and Zero Vectors
Unit Vector
Any vector along with magnitude of 1, that is || u→|| = 1, is called a unit vector.
Zero Vectors
The vector w→ = (0,0) is called a zero vector as its components are all zero. Zero vectors are frequently denoted by 0→. Be careful to differentiate 0 (the number) from 0→ denotes the vector. The number 0 represents the origin in space, whereas the vector 0→ denotes a vector that comprises no magnitude or direction.
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Let G be a group acting on a set X. The action is called faithful if for any g ≠ 1 ∈ G there exists an x ∈ X such that gx ≠ x. That is, only the identity fixes everything. Prov
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There is a list of the forces which will act on the object. Gravity, F g The force because of gravity will always act on the object of course. Such force is F g = mg
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