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19th November 2012 23:54 #1
,
(, , )?
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, , , - .
:
u = <1, -1, 0>
v = <2, 1, -1>
projvU projuV. :
projvU = (u.v/(|v|))v
projuV = (u.v/(|u|))u
u.v = 2.1 + (-1).1 + 0 = 1
|v| = 6
|u| = 2
projvU = i/3 + j/6 - k/6 projuV = i/2 - j/2
, . , , , .
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20th November 2012 08:50 #2
.
projvU = (u.v / length(v))v
length(v) = (v.v) - , "|v|"
(2/(6), 1/(6), -1/(6))
(1/(2), -1/(2), 0)Last edited by anrieff; 20th November 2012 at 08:57. Reason:
, . .
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20th November 2012 09:01 #3
, u*v / |v|^2 u*v / |u|^2, . v u , . :
Code:(u*v /|v|^2)*v = (1 / sqrt(6)^2)*v = 1/6*v = <1/3, 1/6, -1/6>
|u|^2 |v|^2 - , .Code:(u*v /|u|^2)*u = (1 / sqrt(2)^2) = 1/2*u = <1/2, -1/2, 0>
, anrieff,
. .
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