Page 134 - 1300 Math Formulas

CHAPTER 6. VECTORS

= =
=
Figure 82.
=
574. pÅ~ä~ê=mêçÇìÅí=áå=`ççêÇáå~íÉ=cçêã=
r
r
fÑ=ì = ( I v I w I= î = (u I v I w )I=íÜÉå==
)u
r r N N N O O O
ì⋅ î = u N u + v N v + w N w K=
O
O
O
=
575. ^åÖäÉ=_ÉíïÉÉå=qïç=sÉÅíçêë==
r
r
fÑ=ì = ( N I v N I w I= î = (u O I v O I w O )I=íÜÉå==
)u
N
Åçë =θ u N u + v N v + w N w O K=
O
O
u + v + w O u + v + w O
O
O
O
O
N N N O O O
=
576. `çããìí~íáîÉ=mêçéÉêíó=
r r r r
ì⋅ î = î ì ⋅ =
=
577. ^ëëçÅá~íáîÉ=mêçéÉêíó=
r
( r ) ì ⋅ ( λ µ r ) î = λµ ì r
î ⋅ =
=
578. aáëíêáÄìíáîÉ=mêçéÉêíó=
r r r r r r r
ì⋅ ( ï = ì⋅ î + ì⋅ ï =
)î +
=
r r r r π
579. ì⋅ î = M=áÑ=ì I î =~êÉ=çêíÜçÖçå~ä=E = FK=
θ
O
=
r r π
580. ì⋅ î > M=áÑ=M θ < K=
<
O
=
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