1300 Math Formulas

(Dana P.) #1
CHAPTER 6. VECTORS

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Figure 82.
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    fÑ=ì=()uNIvNIwN


r
I=î=(uOIvOIwO)

r
I=íÜÉå==
ì⋅î=uNuO+vNvO+wNwO

r r
K=
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  1. ^åÖäÉ=_ÉíïÉÉå=qïç=sÉÅíçêë==
    fÑ=ì=()uNIvNIwN
    r
    I=î=(uOIvOIwO)
    r
    I=íÜÉå==


O
O

O
O

O
O

O
N

O
N

O
N

N O N O N O
u v w u v w

uu vv ww
Åçë
+ + + +

+ +


θ= K=

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    ìî î ì
    r r r r
    ⋅ = ⋅ =



  2. ^ëëçÅá~íáîÉ=mêçéÉêíó=
    ()()ì î ì î


r r r r
λ ⋅μ =λμ ⋅ =
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  1. aáëíêáÄìíáîÉ=mêçéÉêíó=
    ì()î ï ì î ì ï


r r r r r r r
⋅ + = ⋅ + ⋅ =
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  1. ì⋅î=M


r r
=áÑ=ì

r

r
=~êÉ=çêíÜçÖçå~ä=E
O

π
θ= FK=

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  1. ì⋅î>M


r r
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O

M


π
<θ< K=

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