Page 137 - 1300 Math Formulas

CHAPTER 6. VECTORS

594. aáëíêáÄìíáîÉ=mêçéÉêíó=
r r r r r r r
( ì× ï = ì× î + ì× ï =
)î +
= r
r
r
r
r
θ
595. ì× î = M =áÑ=ì =~åÇ= î =~êÉ=é~ê~ääÉä=E = FK=
M
= r r r r r r r
596. á × á = à × à = â× â = M =
= r r r r r r r r r
597. á × à = â I= à × â = á I= â× á = à =
=
=
=
6.7 Triple Product

=
598. pÅ~ä~ê=qêáéäÉ=mêçÇìÅí=
r
r
r
r
r
r
[ ì î r r r ] ï = ì⋅ ( r ï = î ⋅ (ï× ì ) ï ⋅= r (ì× r ) î =
)î×
=
r
r
599. [ ì r r r ] ï = [ î ï r r î ] ì = [ ïî r r r ] ì = − [ ïìî r r r ] −= [ îï r r r ] ì = − [ ïì r r ] î =
= r r r r r r
600. â ⋅ ( ï = â [ ïîì ]=
)î×
ì
=
601. pÅ~ä~ê=qêáéäÉ=mêçÇìÅí=áå=`ççêÇáå~íÉ=cçêã=
u N v N w N
r r r
)î×
ì⋅ ( ï = u O v O w I==
O
u P v P w P
ïÜÉêÉ==
r r r
ì = ( N I v N I w I= î = (u O I v O I w O )I= ï = (u P I v P I w P )K==
)u
N
=
602. sçäìãÉ=çÑ=m~ê~ääÉäÉéáéÉÇ=
r
r
)î×
ì⋅ ( s = r ï =
=

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