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Geometry of Vectors in Rn: Norm, Dot Product, Orthogonal and Unit Vectors, Lecture notes of Mathematics

Saint Francis University (SFU)Mathematics

This document prepares students for a lecture on the geometry of vectors in rn, discussing concepts such as norm, magnitude, dot product, distance, unit vectors, orthogonal, and orthonormal vectors. It also introduces new terminology for these concepts.

What you will learn

  • What is the meaning of the term 'norm' or 'magnitude' of a vector?
  • Can vectors in R4 have no direction in common? If so, how can we identify such vectors?
  • How is the dot product of two vectors calculated?

Typology: Lecture notes

2018/2019

Uploaded on 07/07/2019

koten-pang
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MATH 232 Section 1.2pre-lecture comments
Today we are discussing the geometry of Rn. How long is a vector? What is the angle
between vectors? Can vectors in R4have no direction in common? How do we break
vectors down into simple directions when we have lots of dimensions?
New terminology:
1. norm, magnitude
2. dot product
3. distance
4. unit vector
5. orthogonal
6. orthonormal
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pf4
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Partial preview of the text

Download Geometry of Vectors in Rn: Norm, Dot Product, Orthogonal and Unit Vectors and more Lecture notes Mathematics in PDF only on Docsity!

MATH 232 Section 1. 2 pre-lecture comments Today we are discussing thebetween vectors? Can vectors in geometry R (^4) have no direction in common? How do we break of R n. How long is a vector? What is the angle vectors down into simple directions when we have lots of dimensions? New terminology:

  1. norm, magnitude
  2. dot product
  3. distance
  4. unit vector
  5. orthogonal
  6. orthonormal