Lecture 1 [04 Feb, 2020] MATH 127 (Maj Sultana)

MATH 127 

Vector Analysis








    ♦ Books: (1) Vector Analysis - Sam Series
                  (2) Linear Algebra - Abdur Rahman




scalar Magnitude 

Vector Magnitude + Direction


A=a1ˆi+a2ˆj+a3ˆkA=a1^i+a2^j+a3^k


|A=a12+a22+a33Magnitude of  A|A=a12+a22+a33Magnitude of  A

ˆi,ˆj,ˆk Standard basic vector  Unit Vector^i,^j,^k Standard basic vector  Unit Vector


• Unit Vector Magnetitude = 1
    Proof:  ˆa=A|A|=a1a12+a22+a32ˆi+a2a12+a22+a32ˆj+a3a12+a22+a32ˆk|ˆa|=(a1a12+a22+a32 ˆi)2+(a2a12+a22+a32 ˆj)2+(a3a12+a22+a32 ˆk)2a12+a22+a32a12+a22+a32=1

  A=a1ˆi+a2ˆj+a3ˆk=(a1,a2,a3)  Components  
A=B |A|=|B| and same directionA=B |A|=|B| but has opposite direction   

    • Position Vector: 








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