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artpasevich
@artpasevich
August 2022
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Плиз решите номер 42.32 и номер 42.36.
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oganesbagoyan
Verified answer
43.32
----------------------------------------------------------------------------
a
(4;-2;-4)
; b
6;-3;2) ;
(
2
a-
3
b
)(
a-
2
b
)
-?
(
2
a-
3
b
)(
a-
2
b
) = 2a² -7
a
b +
6b² =
2(4² + (-2)² +4²) -7(4*6 +(-2)*(-3) +(-4)*2) +6(6² +(-3)² +2²) =2*36 -7*22+6*49=
=72-144+294 =222.
ответ:
:
222 .
--------------------------------------------------------------------------
43.36
a
(-2;0) ⇒
2a
(-4;0) ;
b
(1;-1)⇒k
b
(k ; -k) ;
2
a
- k
b
=(4-k ;k);
c
(2 ;3) ;
вектора 2
a
- k
b
и
c
будут коллинеарны если
(4-k)/2 =k/3 ⇒
k =2,4 .
ответ: 2,4.
2 votes
Thanks 1
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Answers & Comments
Verified answer
43.32----------------------------------------------------------------------------
a(4;-2;-4); b 6;-3;2) ;
(2a-3b)( a- 2b) -?
(2a-3b)( a- 2b) = 2a² -7ab + 6b² =
2(4² + (-2)² +4²) -7(4*6 +(-2)*(-3) +(-4)*2) +6(6² +(-3)² +2²) =2*36 -7*22+6*49=
=72-144+294 =222.
ответ: : 222 .
--------------------------------------------------------------------------
43.36
a(-2;0) ⇒2a(-4;0) ;
b(1;-1)⇒kb(k ; -k) ;
2a - kb =(4-k ;k);
c (2 ;3) ;
вектора 2a - kb и c будут коллинеарны если
(4-k)/2 =k/3 ⇒k =2,4 .
ответ: 2,4.