MATH1002 Lecture Notes - Lecture 3: Unit Vector

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MAT( – Week  Lecture 
1.4 Vector Length
The length of v = [v1,v2,v3,…,vn] is |v|
A vector of length 1 is called a unit vector
Notation
For 1 i ≤ , we denote by ei the vector in ℝn whose ith
component is 1 and with all other components 0
2 Dot Products and Projections
2.1 The Dot Product
The dot product of vectors is the scalar of multiplying each of the components of the
vectors together and then adding it all together
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