Last updated April 10, 2022

Status: Tags: #cards/math232/unit1 Links: Vectors

Vector Length

Principles

Length/magnitude/norm ?

• use pythagorean theorem
  • 
• denoted using double bars || v ||
• $v_1$ and $v_1$ are components of vector
• 

Length form in terms of dot product ?

• Subtraction of points is the steps to get there, while the sqrt is the shortcut calculated from pythagorean theorem

Uses

• Can be used to find distance between two vectors by finding norm
  • 
  • sqrt( (x2-x1)^2 (y2-y1)^2 )
  • law of cosines

Find distance between two points u and v ?

• Calculate v-u
• Find dot product of (v-u)
• Square root ^ to find length of ||v-u||

Distance between u=(1,5) and v=(-1,4) ?

Backlinks

1

list from Vector Length AND !outgoing(Vector Length)

References:

Created:: 2022-01-18 14:19