CHAPTER 6. VECTORS

594. 
     

     aáëíêáÄìíáîÉ=mêçéÉêíó=
     ì ()î ï ì î ì ï
     r r r r r r r
     × + = × + × =

     
     


595. 
     

     ì î M
     r r r
     × = =áÑ=ì
     r
     =~åÇ=î
     r
     =~êÉ=é~ê~ääÉä=Eθ=MFK=

     
     


596. á á à à â â M

r r r r r r r

× = × = × = =

=

597. á à â

r r r

× = I=à â á

r r r

× = I=â á à

r r r

× = =

=

=

=

6.7 Triple Product

=

598. 
     

     pÅ~ä~ê=qêáéäÉ=mêçÇìÅí=
     []ìîï ì ()î ï î (ï ì) ï (ì î)
     rrr r r r r r r r r r
     = ⋅ × = ⋅ × = ⋅ × =

     
     


599. [][]ìîï ïìî [îïì] [îìï] [ïîì] [ìïî]

rrr rrr rrr rrr rrr rrr

= = =− =− =− =

=

600. âì ()î ï â[ìîï]

r r r rrr

⋅ × = =

=

601. pÅ~ä~ê=qêáéäÉ=mêçÇìÅí=áå=`ççêÇáå~íÉ=cçêã=

()

P P P

O O O

N N N

u v w

u v w

u v w

ì⋅î×ï =

r r r

I==

ïÜÉêÉ==

ì=()uNIvNIwN

r

I=î=(uOIvOIwO)

r

I=ï=(uPIvPIwP)

r

K==

=

602. 
     

     sçäìãÉ=çÑ=m~ê~ääÉäÉéáéÉÇ=
     s ì()î ï
     r r r
     = ⋅ × =